UC-NRLF

B 3 111 SMO

ABLES OF

fk^mpouiid Interest Functions

,nb I and

G slB Logarithms of
impound Interest Functions

JAMES W. GLOVER

HARRY C. CARVER

s.

CNJ
CO

CM

CO

o

>-

GEORGE WAHR; PUBLLSHER

P^

TABLES

of

Compound Interest Functions

and

Logarithms of Compound
Interest Functions

"b«f

Ba

JAMES W. GLOVER

Professor of Mathemalics and Insurance,
University of Michigan

and

HARRY C. CARVER

Associate Professor of Mathematics and Insarnnce^
University of Michigan

r ■ I

"b-f

ANN ARBOR, MICHIGAN

George Wahr, Publisher
1921

Engineering
Library

"^v

ve...

Copyright 19'21
By GEORGE WAHB

MILLARD PRESS
Ann Arbor

PREFACE

THESE tables are intended to be used in connection with
college texts on the mathematics of investment and finance.
Bankers, engineers, and actuaries will also find them of ser-
vice in compound interest calculations.

Fourteen tables of values of compound interest functions are
given, eight of which are expressed in natural numbers and six in
logarithms. The natural numbers are given to eight and the
logarithms to seven places of decimals. They are given for 100
years or periods and for the following sixteen rates of interest:
1%, 1M%, 13^%, 1M%, 2%, 2M%, 23^%, 2H%, 3%, 33^%,
4%, 41^%, 5%, 53^%, 6%, 7%. These rates will be found to
cover most of the financial transactions occurring in practice.

The auxihary tables VI, VII, VIII, IX, X, XI, will be found very
useful in connection with calculations involving frequent interest
conversions and installment payments.

The logarithmic tables are designed to facilitate the work of
computation where arithmometers are not available; they may
also be employed to familiarize the student with the use of logar-
ithms.

Ann Arbor, Michigan James W. Glover

September, 1921 Harry C. Carver

458630

> 1 1, 3 ' ' '

' ' ^ 1 ' V ' '

1 ■>■,■>■> ■> 'I'l-^l'

TABLE OF CONTENTS

VALUES OF COMPOUND INTEREST FUNCTIONS

Amount of 1 at Compound Interest Page
TABLE I. (1+i)" 8

Present A alue of 1 at Compound Interest

TABLE IL t"= (1+i)-" 16

Amount of 1 per Annum at Compound Interest

TABLE in. s__ = [(1+i)"— l]/i 24

ji)

Present Value of 1 per Annum at Compound Interest

TABLE IV. a_ = (1 +v")/i 32

nj

Annuity Whose Present Value atXompound Interest Is 1

TABLE V. a_ =i/(l— i") 40

Amount of 1 at Compound Interest for Fractional Periods

TABLE VI. (l+i)i/P 48

Nominal Rate of Interest ./ with Frequency of Conversion p
Corresponding to Effective Rate of Interest i

TABLE VIII. j(p) =p[(l+i)i/P— 1] 50

Amount at End of Year at Compound Interest of p Installments
Each of 1/p Deposited at End of Each pth Part of Year

TABLE X. s(p)=i/j(„. 52

il ^^'

LOGARITHMS OF
VALUES OF COMPOUND INTEREST FUNCTIONS

Logarithm of Amount of 1 at Compound Interest

TABLE XII. log (1+i)" 54

Logarithm of Amount of 1 per Annum at Compound Interest

TABLE XIII. logs^ 62

n\

Logarithm of Present Value of 1 per Annum at Compound Interest

TABLE XIV. loga^ 70

n\

Logarithm of Amount of 1 at Compound Interest for Fractional
Periods

TABLE VII. log (l+i)l/P 49

Logarithm of Nominal Rate of Interest j with Frequency of Con-
version p Corresponding to Effective Rate of Interest i

TABLE IX. fog j(p) 51

Logarithm of Amount at End of Year at Compound Interest of p In-
stallments Each of 1/p Deposited at End of pth Part of Year

TABLE XI. log sip) 53

il

7

Amount of 1 at Compound Interest

TABLE I.

t- (l + i)"

n

1%

1 \^f ■

1 l^o/

1%%

n

1

1.0100 0000

1.0125 0000

1.0150 0000

1.0175 0000

1

2

1.0201 0000

1.0251 5625

1.0302 2500

1.0353 0625

2

3

1.0303 0100

1.0379 7070

1.0456 7838

1.0534 241 1

3

4

1.0406 0401

1.0509 4534

1.0613 6355

1.0718 5903

4

5

1.0510 1005

1.0640 8215

1.0772 8400

1.0906 1656

5

6

1.0615 2015

1.0773 8318

1.0934 4326

1.1097 0235

6

7

1.0721 3535

1.0908 5047

1.1098 4491

1.1291 2215

7

8

1.0828 5671

1.1044 8610

1.1264 9259

1.1488 8178

8

9

1.0936 8527

1.1182 9218

1.1433 8998

1.1689 8721

9

10

1.1046 2213

1.1322 7083

1.1605 4083

1.1894 4449 '

10

11

1.1156 6835

1.1464 2422

1.1779 4894

1.2102 5977

11

12

1.1268 2503

1.1607 5452

1.1956 1817

1.2314 3931

12

13

1.1380 9328

1.1752 6395

1.2135 5244

1.2529 8950

13

14

1.1494 7421

1.1899 5475

1.2317 5573

1.2749 1682

14

15

1.1609 6896

1.2048 2918

1.2502 3207

1.2972 2786

15

16

1.1725 7864

1.2198 8955

1.2689 8555

1.3199 2935

16

17

1.1843 0443

1.2351 3817

1.2880 2033

1.3430 281 1

17

18

1.1961 4748

1.2505 7739

1.3073 4064

1.3665 31 11

18

19

1.2081 0895

1.2662 0961

1.3269 5075

1.3904 4540

19

20

1.2201 9004

1.2820 3723

1.3468 5501

1.4147 7820

20

21

1.2323 9194

1.2980 6270

1.3670 5783

1.4395 3681

21

22

1.2447 1586

1.3142 8848

1.3875 6370

1.4647 2871

22

23

1.2571 6302

1.3307 1709

1.4083 7715

1.4903 6146

23

24

1.2697 3465

1.3473 5105

1.4295 0281

1.5164 4279

24

25

1.2824 3200

1.3641 9294

1.4509 4535

1.5429 8054

25

26

1.2952 5631

1.3812 4535

1.4727 0953

1.5699 8269

26

27

1.3082 0888

1.3985 1092

1.4948 0018

1.5974 5739

27

28

1.3212 9097

1.4159 9230

1.5172 2218

1.6254 1290

28

29

1.3345 0388

1.4336 9221

1.5399 8051

1.6538 5762

29

30

1.3478 4892

1.4516 1336

1.5630 8022

1.6828 0013

30

31

1.3613 2740

1.4697 5853

1.5865 2642

1.7122 4913

31

32

1.3749 4068

1.4881 3051

1.6103 2432

1.7422 1349

32

33

1.3886 9009

1.5067 3214

1.6344 7918

1.7727 0223

33

34

1.4025 7699

1.5255 6629

1.6589 9637

1.8037 2452

34

35

1.4166 0276

1.5446 3587

1.6838 8132

1.8352 8970

35

36

1.4307 6878

1.5639 4382

1.7091 3954

1.8674 0727

36

37

1.4450 7647

1.5834 9312

1.7347 7663

1.9000 8689

37

38

1.4595 2724

1.6032 8678

1.7607 9828

1.9333 3841

38

39

1.4741 2251

1.6233 2787

1.7872 1025

1.9671 7184

39

40

1.4888 6373

1.6436 1946

1.8140 1841

2.0015 9734

40

41

1.5037 5237

1.6641 6471

1.8412 2868

2.0366 2530

41

42

1.5187 8989

1.6849 6677

1.8688 4712

2.0722 6624

42

43

1.5339 7779

1.7060 2885

1.8968 7982

2.1085 3090

43

44

1.5493 1757

1.7273 5421

1.9253 3302

2.1454 3019

44

45

1 1.5648 1075

!

1.7489 4614

1.9542 1301

2.1829 7522

45

46

1.5804 5885

1.7708 0797

1.9835 2621

2.2211 7728

! 46

47

1.5962 6344

1.7929 4306

2.0132 7910

2.2600 4789

47

48

1.6122 2608

' 1.8153 5485

2.0434 7829

2.2995 9872

48

49

1.6283 4834

1.8380 4679

2.0741 3046

1 2.3398 4170

49

50

1.6446 3182

1.8610 2237

2.1052 4242

2.3807 8893

50

Amount of 1 at Compound Interest

TABLE I.

(1+i)"

n

1% 1

1 VC

1 Vf'

1%%

n

51

1.6610 7814

1.8842 8515

2.1368 2106

2.4224 5274

51

52

1.6776 8892

1.9078 3872

2.1688 7337

2.4648 4566

52

53

1.6944 6581

1.9316 8670

2.2014 0647

2.5079 8046

53

54

1.71 14 1047

1.9558 3279

2.2344 2757

2.5518 7012

54

55

1.7285 2457 ;

1.9802 8070

2.2679 4398

2.5965 2785

55

56

1.7458 0982

2.0050 3420

2.3019 6314

2.6419 6708

56

57

1.7632 6792 '

2.0300 9713

2.3364 9259

2.6882 0151

57

58

1.7809 0060

2.0554 7335

2.3715 3998

2.7352 4503

58

59

1.7987 0960

2.0811 6676

2.4071 1308

2.7831 1182

59

60

1.8166 9670

2.1071 8135

2.4432 1978

2.8318 1628

60

61

1.8348 6367

2.1335 2111

2.4798 6807

2.8813 7306

61

62

1.8532 1230

2.1601 9013

2.5170 6609

2.9317 9709

62

63

1.8717 4443

2.1871 9250

2.5548 2208

2.9831 0354

63

64

1.8904 6187

2.2145 3241

2.5931 4442

3.0353 0785

64

65

1.9093 6649

2.2422 1407

1

2.6320 4158

3.0884 2574

65

66

1.9284 6015

2.2702 4174

2.6715 2221

3.1424 7319

66

67

1.9477 4475

2.2986 1976

2.71 15 9504

3.1974 6647

67

68

1.9672 2220

2.3273 5251

2.7522 6896

3.2534 2213

68

69

1.9868 9442

2.3564 4442

2.7935 5300

3.3103 5702

69

70

2.0067 6337

2.3858 9997

2.8354 5629

3.3682 8827

70

71

2.0268 3100

2.4157 2372

2.8779 8814

3.4272 3331

71

72

2.0470 9931

2.4459 2027

2.921 1 5796

3.4872 0990

72

73

2.0675 7031

2.4764 9427

2.9649 7533

3.5482 3607

73

74

2.0882 4601

2.5074 5045

3.0094 4996

3.6103 3020

74

75

2.1091 2847

2.5387 9358

3.0545 9171

3.6735 1098

75

76

2.1302 1975

2.5705 2850

3.1004 1059

3.7377 9742

76

77

2.1515 2195

2.6026 601 1

3.1469 1674

3.8032 0888

77

78

2.1730 3717

2.6351 9336

3.1941 2050

3.8697 6503

78

79

2.1947 6754

2.6681 3327

3.2420 3230

3.9374 8592

79

80

2.2167 1522

2.7014 8494

3.2906 6279

4.0063 9192

80

81

2.2388 8237

2.7352 5350

3.3400 2273

4.0765 0378

81

82

2.2612 7119

2.7694 4417

3.3901 2307

4.1478 4260

82

83

2.2838 8390

2.8040 6222

3.4409 7492

4.2204 2984

83

84

2.3067 2274

2.8391 1300

3.4925 8954

4.2942 8737

84

85

2.3297 8997

2.8746 0191

3.5449 7838

4.3694 3740

! ''

86

2.3530 8787

2.9105 3444

3.5981 5306

4.4459 0255

86

87

2.3766 1875

2.9469 1612

3.6521 2535

4.5237 0584

87

88

2.4003 8494

2.9837 5257

3.7069 0723

4.6028 7070

88

89

2.4243 8879

3.0210 4948

3.7625 1084

4.6834 2093

89

90

2.4486 3267

3.0588 1260

3.8189 4851

4.7653 8080

90

91

2.4731 1900

3.0970 4775

3.8762 3273

4.8487 7496

91

92

2.4978 5019

3.1357 6085

3.9343 7622

4.9336 2853

92

93

2.5228 2869

3.1749 5786

3.9933 9187

5.0199 6703

93

94

2.5480 5698

3.2146 4483

4.0532 9275

5.1078 1645

94

95

2.5735 3755

3.2548 2789

4.1 140 9214

5.1972 0324

95

96

2.5992 7293

3.2955 1324

4.1758 0352

5.2881 5429

96

97

2.6252 6565

3.3367 0716

4.2384 4057

5.3806 9699

97

98

2.6515 1831

3.3784 1600

4.3020 1718

5.4748 5919

98

99

2.6780 3349

3.4206 4620

4.3665 4744

5.5706 6923

99

100

2.7048 1383

3.4634 0427

4.4320 4565

5.6681 5594

100

Amount of 1 at Compound Interest

TABLE I.

(1+i)"

re

2%

2h%

2%%

re

1

1.0200 0000

1 1.0225 0000

1.0250 0000

1.0275 0000

1

2

1.0404 0000

1.0455 0625

1.0506 2500

1.0557 5625

2

3

1.0612 0800

1.0690 3014

1.0768 9063

1.0847 8955

3

4

1.0824 3216

1.0930 8332

1.1038 1289

1.1146 2126

4

5

1.1040 8080

1.1176 7769

1.1314 0821

, 1.1452 7334

5

6

1.1261 6242

1.1428 2544

1.1596 9342

1.1767 6836

6

7

1.1486 8567

1.1685 3901

1.1886 8575

1.2091 2949

7

8

1.1716 5938

1.1948 31 14

1.2184 0290

1.2423 8055

8

9

1.1950 9257

1.2217 1484

1.2488 6297

1.2765 4602

9

10

1.2189 9442

1 1.2492 0343

1.2800 8454

1.31 16 5103

10

11

1.2433 7431

1.2773 1050

1.3120 8666

1.3477 2144

1 1

12

1.2682 4179

1.3060 4999

1.3448 8882

1.3847 8378

12

13

1.2936 0663

1.3354 361 1

1.3785 1 104

1.4228 6533

13

14

1.3194 7876

1.3654 8343

1.4129 7382

1.4619 9413

14

15

1.3458 6834

1.3962 0680

1.4482 9817

1.5021 9896

15

16

1.3727 8571

1.4276 2146

1.4845 0562

1.5435 0944

16

17

1.4002 4142

1.4597 4294

1.5216 1826

1.5859 5595

17

18

1.4282 4625

1.4925 8716

1.5596 5872

1.6295 6973

18

19

1.4568 1 117

1.5261 7037

1.5986 5019

1.6743 8290

19

20

1.4859 4740

1.5605 0920

1.6386 1644

1.7204 2843

20

21

1.5156 6634

1.5956 2066

1.6795 8185

1.7677 4021

21

22

1.5459 7967

1.6315 2212

1.7215 7140

1.8163 5307

22

23

1.5768 9926

1.6682 3137

1.7646 1068

1.8663 0278

23

24

1.6084 3725

1.7057 6658

1.8087 2595

1.9176 2610

24

25

1.6406 0599

1.7441 4632

1.8539 4410

1.9703 6082

25

26

1.6734 181 1

1.7833 8962

1.9002 9270

2.0245 4575

26

27

1.7068 8648

1.8235 1588

1.9478 0002

2.0802 2075

27

28

1.7410 2421

1.8645 4499

1.9964 9502

2.1374 2682

28

29

1.7758 4469

1.9064 9725

2.0464 0739

2.1962 0606

29

30

1.8113 6158

1.9493 9344

2.0975 6758

2.2566 0173

30

31

1.8475 8882

1.9932 5479

2.1500 0677

2.3186 5828

31

32

1.8845 4059

2.0381 0303

2.2037 5694

2.3824 2138

32

33

1.9222 3140

2.0839 6034

2.2588 5086

2.4479 3797

33

34

1.9606 7603

2.1308 4945

2.3153 2213

2.5152 5626

34

35

1.9998 8955

2.1787 9356

2.3732 0519

2.5844 2581

35

36

1

2.0398 8734

2.2278 1642

2.4325 3532

2.6554 9752

36

37

2.0806 8509

2.2779 4229

2.4933 4870

2.7285 2370

37

38

2.1222 9879

2.3291 9599

2.5556 8242

2.8035 5810

38

39

2.1647 4477

2.3816 0290

2.6195 7448

2.8806 5595

39

40

2.2080 3966

2.4351 8897

2.6850 6384

2.9598 7399

40

41

2.2522 0046

2.4899 8072 ,

2.7521 9043

3.0412 7052

41

42

2.2972 4447

2.5460 0528

2.8209 9520

3.1249 0546

42

43

2.3431 8936

2.6032 9040

2.8915 2008

3.2108 4036

43

44

2.3900 5314

2.6618 6444

2.9638 0808 |

3.2991 3847

44

45

2.4378 5421

2.7217 5639

3.0379 0328

3.3898 6478

45

46

2.4866 1129 '

2.7829 9590

3.1138 5086

3.4830 8606

46

47

2.5363 4351

2.8456 1331

3.1916 9713

3.5788 7093

47

48

2.5870 7039

2.9096 3961

3.2714 8956

3.6772 8988

48

49

2.6388 1179

2.9751 0650

3.3532 7680

3.7784 1535 1

49

50

2.6915 8803

3.0420 4640 1

3.4371 0872

3.8823 2177

50

10

Amount of 1 at Compound Interest

TABLE I.

(1+i)"

n

2%

2Ji%

•^'2 /O

n

51

2.7454 1979

3.1 104 9244

3.5230 3644

3.9890 8562

51

52

2.8003 2819

3.1804 7852

3.6111 1235

4.0987 8547

52

53

2.8563 3475

3.2520 3929

3.7013 9016

4.21 15 0208

53

54

2.9134 6144

3.3252 1017

3.7939 2491 [

4.3273 1838

54

55

2.9717 3067

3.4000 2740

3.8887 7303 '

4.4463 1964

55

56

i
3.0311 6529

3.4765 2802

3.9859 9236

4.5685 9343 1

56

57

3.0917 8859

3.5547 4990

4.0856 4217

4.6942 2975

57

58

3.1536 2436

3.6347 3177

4.1877 8322

4.8233 2107

58

59

3.2166 9685

3.7165 1324

4.2924 7780

4.9559 6239 1

59

60

3.2810 3079

3.8001 3479

4.3997 8975

5.0922 5136

60

61 i

3.3466 5140

3.8856 3782

4.5097 8449

5.2322 8827

61

62

3.4135 8443

3.9730 6467

4.6225 2910

5.3761 7620

62

63

3.4818 5612

4.0624 5862

4.7380 9233 !

5.5240 2105

63

64

3.5514 9324

4.1538 6394 1

4.8565 4464

5.6759 3162

64

65

3.6225 231 1

4.2473 2588 |

4.9779 5826

5.8320 1974

65

66 '

3.6949 7357

4.3428 9071

5.1024 0721

5.9924 0029

66

67

3.7688 7304

4.4406 0576

5.2299 6739

6.1571 9130

67

68

3.8442 5050

4.5405 1939

5.3607 1658

6.3265 1406

68

69

3.9211 3551

4.6426 8107

5.4947 3449

6.5004 9319

69

70

3.9995 5822

4.7471 4140

5.6321 0286

6.6792 5676

70

71

4.0795 4939

4.8539 5208

5.7729 0543

6.8629 3632

71

72

4.1611 4038

4.9631 6600

5.9172 2806

7.0516 6706

72

73

4.2443 6318

5.0748 3723

6.0651 5876

7.2455 8791

73

74

4.3292 5045

5.1890 2107

6.2167 8773

7.4448 4158

74

75

4.4158 3546

5.3057 7405

6.3722 0743

7.6495 7472

75

76

4.5041 5216

5.4251 5396

6.5315 1261

7.8599 3802

76

77

4.5942 3521

5.5472 1993

6.6948 0043

8.0760 8632

77

78

4.6861 1991

5.6720 3237

6.8621 7044

8.2981 7869

78

79

4.7798 4231

5.7996 5310

7.0337 2470

8.5263 7861

79

80

4.8754 3916

5.9301 4530

7.2095 6782

8.7608 5402

80

81

4.9729 4794

6.0635 7357

7.3898 0701

9.0017 7751

81

82

5.0724 0690

6.2000 0397

7.5745 5219

9.2493 2639

82

83

5.1738 5504

6.3395 0406

7.7639 1599

9.5036 8286

83

84

5.2773 3214

6.4821 4290

7.9580 1389

9.7650 3414

84

85

5.3828 7878

6.6279 9112

8.1569 6424

10.0335 7258

85

86

5.4905 3636

6.7771 2092

8.3608 8834

10.3094 9583

86

87

5.6003 4708

6.9296 0614

8.5699 1055

10.5930 0696

87

88

5.7123 5402

7.0855 2228

8.7841 5832

10.8843 1465

88

89

5.8266 0110

7.2449 4653

9.0037 6228

11.1836 3331

89

90

5.9431 3313

7.4079 5782

9.2288 5633

11.4911 8322

90

91

6.0619 9579

7.5746 3688

9.4595 7774

11.8071 9076

91

92

6.1832 3570

7.7450 6621

9.6960 6718

12.1318 8851

92

93

6.3069 0042

7.9193 3020

9.9384 6886

12.4655 1544

93

94

6.4330 3843

8.0975 1512

10.1869 3058

12.8083 1711

94

95

6.5616 9920

8.2797 0921

10.4416 0385

13.1605 4584

95

96

6.6929 3318

8.4660 0267

10.7026 4395

13.5224 6085

96

97

6.8267 9184

8.6564 8773

10.9702 1004

13.8943 2852

97

98

6.9633 2768

8.8512 5871

11.2444 6530

14.2764 2255

98

99

7.1025 9423

9.0504 1203

11.5255 7693

14.6690 2417

99

100

7.2446 4612

9.2540 4630

11.8137 1635

15.0724 2234

100

11

Amount of 1 at Compound Interest

TABLE I.

(1+i)"

n

3%

3^'/o

4%

■*''2/C

n

1

1.0300 0000

1.0350 0000

1.0400 0000

1.0450 0000

1

2

1.0609 0000

1.0712 2500

1.0816 0000

1.0920 2500

2

3

1.0927 2700

1.1087 1788

1.1248 6400

1.141 1 6613

3

4

1.1255 0881

1.1475 2300

1.1698 5856

1.1925 1860

4

5

1.1592 7407

1.1876 8631

1.2166 5290

1.2461 8194

5

6

1.1940 5230

1.2292 5533

1.2653 1902

1.3022 6012

6

7

1.2298 7387

1.2722 7926

1.3159 3178

1.3608 6183

7

8

1.2667 7008

1.3168 0904

1.3685 6905

1.4221 0061

8

9

1.3047 7318

1.3628 9735

1.4233 1181

1.4860 9514

9

10

1.3439 1638

1.4105 9876

1.4802 4428

1.5529 6942

10

11

1.3842 3387

1.4599 6972

1.5394 5406

1.6228 5305

11

12

1.4257 6089

1.5110 6866

1.6010 3222

1.6958 8143

12

13

1.4685 3371

1.5639 5606

1.6650 7351

1.7721 9610

13

14

1.5125 8972

1.6186 9452

1.7316 7645

1.8519 4492

14

15

1.5579 6742

1.6753 4883

1.8009 4351

1.9352 8244

15

16

1.6047 0644

1.7339 8604

1.8729 8125

2.0223 7015

16

17

1.6528 4763

1.7946 7555

1.9479 0050

2.1133 7681

17

18

1.7024 3306

1.8574 8920

2.0258 1652

2.2084 7877

18

19

1.7535 0605

1.9225 0132

2.1068 4918

2.3078 6031

19

20

1.8061 1123

1.9897 8886

2.1911 2314

2.4117 1402

20

21

1.8602 9457

2.0594 3147

2.2787 6807

2.5202 4116

21

22

1.9161 0341

2.1315 1158

2.3699 1879

2.6336 5201

22

23

1.9735 8651

2.2061 1448

2.4647 1554

2.7521 6635

23

24

2.0327 9411

2.2833 2849

2.5633 0416

2.8760 1383

24

25

2.0937 7793

2.3632 4498

2.6658 3633

3.0054 3446

25

26

2.1565 9127

2.4459 5856

2.7724 6978

3.1406 7901

26

27

2.2212 8901

2.5315 6711

2.8833 6858

3.2820 0956

27

28

2.2879 2768

2.6201 7196

2.9987 0332

3.4296 9999

28

29

2.3565 6551

2.7118 7798

3.1186 5145

3.5840 3649

29

30

2.4272 6247

2.8067 9370

3.2433 9751

3.7453 1813

30

31

2.5000 8035

2.9050 3148

3.3731 3341

3.9138 5745

31

32

2.5750 8276

3.0067 0759

3.5080 5875

4.0899 8104

32

33

2.6523 3524

3.1 119 4235

3.6483 8110

4.2740 3018

33

34

2.7319 0530

3.2208 6033

3.7943 1634

4.4663 6154

34

35

2.8138 6245

3.3335 9045

3.9460 8899

4.6673 4781

35

36

2.8982 7833

3.4502 6611

4.1039 3255

4.8773 7846

36

37

2.9852 2668

3.5710 2543

4.2680 8986

5.0968 6049

37

38

3.0747 8348

3.6960 1132

4.4388 1345

5.3262 1921

38

39

3.1670 2698

3.8253 7171

4.6163 6599

5.5658 9908

39

40

3.2620 3779

3.9592 5972

4.8010 2063

5.8163 6454

40

41

3.3598 9893

4.0978 3381

4.9930 6145

6.0781 0094

41

42

3.4606 9589

4.2412 5799

5.1927 8391

6.3516 1548

42

43

3.5645 1677

4.3897 0202

5.4004 9527

6.6374 3818

43

44

3.6714 5227

4.5433 4160

5.6165 1508

6.9361 2290

44

45

3.7815 9584

4.7023 5855

5.8411 7568

7.2482 4843

45

46

3.8950 4372

4.8669 4110

6.0748 2271

7.5744 1961

46

47

4.01 18 9503

5.0372 8404

6.3178 1562

7.9152 6849

47

48

4.1322 5188

5.2135 8898

6.5705 2824

8.2714 5557

48

49

4.2562 1944

5.3960 6459

6.8333 4937

8.6436 7107

49

50

4.3839 0602

5.5849 2686

7.1066 8335

9.0326 3627

50

12

Amount of 1 at Compound Interest

TABLE I.

(1 + i)"

n

• 3%

1 1 c

4%

4J$%

1

n

51

4.5154 2320

5.7803 9930

7.3909 5068

9.4391

0490

51

52

4.6508 8590

5.9827 1327

7.6865 8871

9.8638

6463

52

53

4.7904 1247

6.1921 0824

7.9940 5226

10.3077

3853

53

54

4.9341 2485

6.4088 3202

8.3138 1435

10.7715

8677

54

55

5.0821 4859

6.6331 4114

8.6463 6692 '

11.2563

0817

55

56

5.2346 1305

6.8653 0108

8.9922 2160

11.7628

4204

56

57

5.3916 5144

7.1055 8662

9.3519 1046

12.2921

6993

57

58

5.5534 0098

7.3542 8215

9.7259 8688

12.8453

1758

58

59

5.7200 0301

7.6116 8203

10.1 150 2635

13.4233

5687

59

60

5.8916 0310

7.8780 9090

10.5196 2741

14.0274

0793

60

61

6.0683 5120

8.1538 2408

10.9404 1250

14.6586

4129

61

62

6.2504 0173

8.4392 0793

11.3780 2900

15.3182

8014

62

63

6.4379 1379

8.7345 8020

11.8331 5016

16.0076

0275

63

64

6.6310 5120

9.0402 9051

12.3064 7617

16.7279

4487

64

65

6.8299 8273

9.3567 0068

12.7987 3522

17.4807

0239

65

66

7.0348 8222

9.6841 8520

13.3106 8463

18.2673

3400

66

67

7.2459 2868

10,0231 3168

13.8431 1201

19.0893

6403

67

68

7.4633 0654

10.3739 4129

14.3968 3649

19.9483

8541

68

69

7.6872 0574

10.7370 2924

14.9727 0995

20.8460

6276

69

70

7.9178 2191

1 1.1 128 2526

15.5716 1835

21.7841

3558

70

71

8.1553 5657

1 1.5017 7414

16.1944 8308

22.7644

2168

71

72

8.4000 1727

11.9043 3624

16.8422 6241

23.7888

2066

72

73

8.6520 1778

12.3209 8801

17.5159 5290

24.8593

1759

73

74

8.91 15 7832

12.7522 2259

18.2165 9102

25.9779

8688

74

75

9.1789 2567

13.1985 5038

18.9452 5466

27.1469

9629

75

76

9.4542 9344

13.6604 9964

19.7030 6485

28.3686

1112

76

77

9.7379 2224

14.1386 1713

20.491 1 8744

29.6451

9862

77

78

10.0300 5991

14.6334 6873

21.3108 3494

30.9792

3256

78

79

10.3309 6171

15.1456 4013

22.1632 6834

32.3732

9802

79

80

10.6408 9056

15.6757 3754

23.0497 9907

33.8300

9643

80

81

10.9601 1727

16.2243 8835

23.9717 9103

35.3524

5077

81

82

11.2889 2079

16.7922 4195

24.9306 6267

36.9433

1 106

82

83

1 1.6275 8842

17.3799 7041

25.9278 8918

38.6057

6006

83

84

11.9764 1607

17.9882 6938

26.9650 0475

40.3430

1926

84

85

12.3357 0855

18.6178 5881

28.0436 0494

42.1584

5513

85

86

12.7057 7981

' 19.2694 8387

29.1653 4914

44.0555

8561

86

87

13.0869 5320

19.9439 1580

30.3319 6310

46.0380

8696

87

88

13.4795 6180

20.6419 5285

31.5452 4163

48.1098

0087

88

89

13.8839 4865

21.3644 2120

32.8070 5129

50.2747

4191

89

90

14.3004 671 1

22.1121 7595

34.1 193 3334

52.5371

0530

90

91

14.7294 8112

22.8861 0210

35.4841 0668

54.9012

7503

91

92

15.1713 6556

23.6871 1568

36.9034 7094

57.3718

3241

92

93

15.6265 0652

24.5161 6473

38.3796 0978

59.9535

6487

93

94

16.0953 0172

25.3742 3049

39.9147 9417

62.6514

7529

94

95

16.5781 6077

26.2623 2856

41.51 13 8594

65.4707

9168

95

96

17.0755 0559

27.1815 1006

43.1718 4138

68.4169

7730

96

97

17.5877 7076

28.1328 6291

44.8987 1503

71.4957

4128

97

98

18.1 154 0388

29.1 175 1311

46.6946 6363

74.7130

4964

98

99

18.6588 6600

30.1366 2607

48.5624 5018

78.0751

3687

99

100

19.2186 3198

31.1914 0798

i 50.5049 4818

1

81.5885

1803

100

13

Amount of 1 at Compound Interest

TABLE I.

(1+i)"

n

o%

6':c

7Sc

n

1

1.0500

0000

1.0550 0000

1.0600

0000

1.0700

0000

1

2

1.1025

0000

1.1 130 2500

1.1236

0000

1.1449

0000

2

3

1.1576

2500

1.1742 4138

1.1910

1600

1.2250

4300

3

4

1.2155

0625

1.2388 2465

1.2624

7696

1.3107

9601

4

5

1.2762

8156

1.3069 6001

1.3382

2558

1.4025

5173

5

6

1.3400

9564

1.3788 4281

1.4185

1911

1.5007

3035

6

7

1.4071

0042

1.4546 7916

1.5036

3026

1.6057

8148

7

8

1.4774

5544

1.5346 8651

1.5938

4807

1.7181

8618

8

9

1.5513

2822

1.6190 9427

1.6894

7896

1.8384

5921

9

10

1.6288

9463

1.7081 4446

1.7908

4770

1.9671

5136

10

11

1.7103

3936

1.8020 9240

1.8982

9856

2.1048

5195

11

12

1.7958

5633

1.9012 0749

2.0121

9647

2.2521

9159

12

13

1.8856

4914

2.0057 7390

2.1329

2826

2.4098

4500

13

14

1.9799

3160

2.1 160 9146

2.2609

0396

2.5785

3415

14

15

2.0789

2818

2.2324 7649

2.3965

5819

2.7590

3154

15

16

2.1828

7459

2.3552 6270

2.5403

5168

2.9521

6375

16

17

2.2920

1832

2.4848 0215

2.6927

727?

3.1588

1521

17

18

2.4066

1923

2.6214 6627

2.8543

3915

3.3799

3228

18

19

2.5269

5020

2.7656 4691

3.0255

9950

3.6165

2754

19

20

2.6532

9771

2.9177 5749

3.2071

3547

3.8696

8446

20

21

2.7859

6259

3.0782 3415

3.3995

6360

4.1405

6237

21

22

2.9252

6072

3.2475 3703

3.6035

3742

4.4304

0174

22

23

3.0715

2376

3.4261 5157

3.8197

4966

4.7405

2986

22

24

3.2250

9994

3.6145 8990

4.0489

3464

5.0723

6695

24

25

3.3863

5494

3.8133 9235

4.2918

7072

5.4274

3264

25

26

3.5556

7269

4.0231 2893

4.5493

8296

5.8073

5292

26

27

3.7334

5632

4.2444 0102

4.8223

4594

6.2138

6763

27

28

3.9201

2914

4.4778 4307

5.1 1 16

8670

6.6488

3836

28

29

4.1161

3560

4.7241 2444

5.4183

8790

7.1142

5705

29

30

4.3219

4238

4.9839 5129

5.7434

91 17

7.6122

5504

30

31

4.5380

3949

5.2580 6861

6.0881

0064

8.1451

1290

31

32

4.7649

4147

5.5472 6238

6.4533

8668

8.7152

7080

32

33

5.0031

8854

5.8523 6181

6.8405

8988

9.3253

3975

33

34

5.2533

4797

6.1742 4171

7.2510

2528

9.9781

1354

34

35

5.5160

1537

6.5138 2501

7.6860

8679

10.6765

8148

35

36

5.7918

1614

6.8720 8538

8.1472

5200

11.4239

4219

36

37

6.0814

0694

7.2500 5008

8.6360

8712

12.2236

1814

37

38

6.3854

7729

7.6488 0283

9.1542

5235

13.0792

7141

38

39

6.7047

51 15

8.0694 8699

9.7035

0749

13.9948

2041

39

40

7.0399

8871

8.5133 0877

10.2857

1794

14.9744

5784

40

41

7.3919

8815

8.9815 4076

10.9028

6101

16.0226

6989

41

42

7.7615

8756

9.4755 2550

11.5570

3267

17.1442

5678

42

43

8.1496

6693

9.9966 7940

12.2504

5463

18.3443

5475

43

44

8.5571

5028

10.5464 9677

12.9854

8191

19.6284

5959

44

45

8.9850

0779

11.1265 5409

13.7646

1083

21.0024

5176

45

46

9.4342

5818

1 1.7385 1456

14.5904

8748

22.4726

2338

46

47

9.9059

7109

12.3841 3287

15.4659

1673

24.0457

0702

47

48

10.4012

6965

13.0652 6017

16.3938

7173

25.7289

0651

48

49

10.9213

3313

13.7838 4948

17.3775

0403

27.5299

2997

49

50

1 1.4673

9979

14.5419 6120

18.4201

5427

29.4570

2506

50

1 1

Amount of 1 at Compound Interest

TABLE I.

(l + i)'

n

5%

5H%

6%

7%

n

51

12.0407

6978

15.3417

6907

19.5253 6353

31.5190 1682

51

52

12.6428

0826

16.1855

6637

20.6968 8534

33.7253 4799

52

53

13.2749

4868

17.0757

7252

21.9386 9846

36.0861 2235

53

54

13.9386

961 1

18.0149

4001

23.2550 2037

38.6121 5092

54

55

14.6356

3092

19.0057

6171

24.6503 2159

41.3150 0148

55

56

15.3674

1246

20.0510

7860

26.1293 4089

44.2070 5159

56

57

16.1357

8309

21.1538

8793

27.6971 0134

47.3015 4520

57

58

16.9425

7224

22.3173

5176

29.3589 2742

50.6126 5336

58

59

17.7897

0085

23.5448

061 1

31.1204 6307

54.1555 3910

59

60

18.6791

8589

24.8397

7045

32.9876 9085

57.9464 2683

60

61

19.6131

4519

26.2059

5782

34.9669 5230

62.0026 7671

61

62

20.5938

0245

27.6472

8550

37.0649 6944

66.3428 6408

62

63

21.6234

9257

29.1678

8620

39.2888 6761

70.9868 6457

63

64

22.7046

6720

30.7721

1994

41.6461 9967

75.9559 4509

64

65

23.8399

0056

32.4645

8654

44.1449 7165

81.2728 6124

65

66

25.0318

9559

34.2501

3880

46.7936 6994

86.9619 6153

66

67

26.2834

9037

36.1338

9643

49.6012 9014

93.0492 9884

67

68

27.5976

6488

38.1212

6074

52.5773 6755

99.5627 4976

68

69

28.9775

4813

40.2179

3008

55.7320 0960

106.5321 4224

69

70

30.4264

2554

42.4299

1623

59.0759 3018

1 13.9893 9220

70

71

31.9477

4681

44.7635

6163

62.6204 8599

121.9686 4965

71

72

33.5451

3415

47.2255

5751

66.3777 1515

130.5064 5513

72

73

35.2223

9086

49.8229

6318

70.3603 7806

139.6419 0699

73

74

36.9835

1040

52.5632

2615

74.5820 0074

149.4168 4047

74

75

38.8326

8592

55.4542

0359

79.0569 2079

159.8760 1931

75

76

40.7743

2022

58.5041

8479

83.8003 3603

171.0673 4066

76

77

42.8130

3623

61.7219

1495

88.8283 5620

183.0420 5451

77

78

44.9536

8804

65.1 166

2027

94.1580 5757

195.8549 9832

78

79

47.2013

7244

68.6980

3439

99.8075 4102

209.5648 4820

79

80

49.5614

4107

72.4764

2628

105.7959 9348

224.2343 8758

80

81

52.0395

1312

76.4626

2973

1 12.1437 5309

239.9307 9471

81

82

54.6414

8878

80.6680

7436

118.8723 7828

256.7259 5034

82

83

57.3735

6322

85.1048

1845

126.0047 2097

274.6967 6686

83

84

60.2422

4138

89.7855

8347

133.5650 0423

293.9255 4054

84

85

63.2543

5344

94.7237

9056

141.5789 0449

314.5003 2838

85

86

66.4170

71 12

99.9335

9904

150.0736 3875

336.5153 5137

86

87

69.7379

2467

105.4299

4698

159.0780 5708

360.0714 2596

87

88

73.2248

2091

1 11.2285

9407

168.6227 4050

385.2764 2578

88

89

76.8860

6195

1 17.3461

6674

178.7401 0493

412.2457 7558

89

90

80.7303

6505

123.8002

0591

189.4645 1 123

441 .1029 7988

90

91

84.7668

8330

130.6092

1724

200.8323 8190

471.9801 8847

91

92

89.0052

2747

137.7927

2419

212.8823 2482

505.0188 0166

92

93

93.4554

8884

145.3713

2402

225.6552 6431

540.3701 1778

93

94

98.1282

6328

153.3667

4684

239.1945 8017

578.1960 2602

94

95

103.0346

7645

161.8019

1791

253.5462 5498 [

618.6697 4784

95

96

108.1864

1027

170.7010

2340

268.7590 3028

661 .9766 3019

96

97

1 13.5957

3078

180.0895

7969

284.8845 7209

708.3149 9430

97

98

1 19.2755

1732

189.9945

0657

301.9776 4642

757.8970 4390

98

99

125.2392

9319

200.4442

0443

320.0963 0520

810.9498 3698

99

100

131.5012

5785

21 1.4686

3567

339.3020 8351

867.7163 2557

100

15

Present Value of 1 at Conipound Interest

TABLE II.

v"=(i+iy

n

1%

ih'

'b

1 Vfy

^^ /o

1%%

n

1

0.9900

9901

0.9876

5432

0.9852 2167

0.9828

0098

1

2

0.9802

9605

0.9754

6106

0.9706 6175

0.9658

9777

2

3

0.9705

9015

0.9634

1833

0.9563 1699

0.9492

8528

3

4

0.9609

8034

0.9515

2428

0.9421 8423

0.9329

5851

4

5

0.9514

6569

0.9397

7706

0.9282 6033

0.9169

1254

5

6

0.9420

4524

0.9281

7488

0.9145 4219

0.9011

4254

6

7

0.9327

1805

0.9167

1593

0.9010 2679

0.8856

4378

7

8

0.9234

8322

0.9053

9845

0.8877 1 1 12

0.8704

1 157

8

9

0.9143

3982

0.8942

2069

0.8745 9224

0.8554

4135

9

10

0.9052

8695

0.8831

8093

0.8616 6723

0.8407

2860

10

11

0.8963

2372

0.8722

7746

0.8489 3323

0.8262

6889

11

12

0.8874

4923

0.8615

0860

0.8363 8742

0.8120

5788

12

13

0.8786

6260

0.8508

7269

0.8240 2702

0.7980

9128

13

14

0.8699

6297

0.8403

6809

0.81 18 4928

0.7843

6490

14

15

0.8613

4947

0.8299

9318

0.7998 5150

0.7708

7459

15

16

0.8528

2126

0.8197

4635

0.7880 3104

0.7576

1631

16

17

0.8443

7749

0.8096

2602

0.7763 8526

0.7445

8605

17

18

0.8360

1731

0.7996

3064

0.7649 1 159

0.7317

7990

18

19

0.8277

3992

0.7897

5866

0.7536 0747

0.7191

9401

19

20

0.8195

4447

0.7800

0855

0.7424 7042

0.7068

2458

20

21

0.81 14

3017

0.7703

7881

0.7314 9795

0.6946

6789

21

22

0.8033

9621

0.7608

6796

0.7206 8763

0.6827

2028

22

23

0.7954

4179

0.7514

7453

0.7100 3708

0.6709

7817

23

24

0.7875

6613

0.7421

9707

0.6995 4392

0.6594

3800

24

25

0.7797

6844

0.7330

3414

0.6892 0583

0.6480

9632

25

26

0.7720

4796

0.7239

8434

0.6790 2052

0.6369

4970

26

27

0.7644

0392

0.7150

4626

0.6689 8574

0.6259

9479

27

28

0.7568

3557

0.7062

1853

0.6590 9925

0.6152

2829

28

29

0.7493

4215

0.6974

9978

0.6493 5887

0.6046

4697

29

30

0.7419

2292

0.6888

8867

0.6397 6243

0.5942

4764

30

31

0.7345

7715

0.6803

8387

0.6303 0781

0.5840

2716

31

32

0.7273

0411

0.6719

8407

0.6209 9292

0.5739

8247

32

33

0.7201

0307

0.6636

8797

0.61 18 1568

0.5641

1053

33

34

0.7129

7334

0.6554

9429

0.6027 7407

0.5544

0839

34

35

0.7059

1420

0.6474

0177

0.5938 6608

0.5448

7311

35

36

0.6989

2495

0.6394

0916

0.5850 8974

0.5355

0183

36

37

0.6920

0490

0.6315

1522

0.5764 4309

0.5262

9172

37

38

0.6851

5337

0.6237

1873

0.5679 2423

0.5172

4002

38

39

0.6783

6967

0.6160

1850

0.5595 3126

0.5083

4400

39

40

0.6716

5314

0.6084

1334

0.5512 6232

0.4996

0098

40

41

0.6650

0311

0.6009

0206

0.5431 1559

0.4910

0834

41

42

0.6584

1892

0.5934

8352

0.5350 8925

0.4825

6348

42

43

0.6518

9992

0.5861

5656

0.5271 8153

0.4742

6386

43

44

0.6454

4546

0.5789

2006

0.5193 9067

0.4661

0699

44

45

0.6390

5492

0.5717

7290

0.5117 1494

0.4580

9040

45

46

0.6327

2764

0.5647

1397

0.5041 5265

0.4502

1170

46

47

0.6264

6301

0.5577

4219

0.4967 0212

0.4424

6850

47

48

0.6202

6041

0.5508

5649

0.4893 6170

0.4348

5848

48

49

' 0.6141

1921

0.5440

5579

0.4821 2975

0.4273

7934

49

50

0.6080

3882

0.5373

3905

0.4750 0468

0.4200

2883

50

16

Present Value of 1 at Compound Interest

TABLE II.

V

(i+iy

n

1%

ih'

7c

IH'

7o

1%%

n

51

0.6020

1864

0.5307

0524

0.4679

8491

0.4128

0475

51

52

0.5960

5806

0.5241

5332

0.4610

6887

0.4057

0492

52

53

0.5901

5649

0.5176

8229

0.4542

5505

0.3987

2719

53

54

0.5843

1336

0.5112

9115

0.4475

4192

0.3918

6947

54

55

0.5785

2808

0.5049

7892

0.4409

2800

0.3851

2970

55

56

0.5728

0008

0.4987

4461

0.4344

1182

0.3785

0585

56

57

0.5671

2879

0.4925

8727

0.4279

9194

0.3719

9592

57

58

0.5615

1365

0.4865

0594

0.4216

6694

0.3655

9796

58

59

0.5559

541 1

0.4804

9970

0.4154

3541

0.3593

1003

59

60

0.5504

4962

0.4745

6760

0.4092

9597

0.3531

3025

60

61

0.5449

9962

0.4687

0874

0.4032

4726

0.3470

5676

61

62

0.5396

0358

0.4629

2222

0.3972

8794

0.3410

8772

62

63

0.5342

6097

0.4572

0713

0.3914

1669

0.3352

2135

63

64

0.5289

7126

0.4515

6259

0.3856

3221

0.3294

5587

64

65

0.5237

3392

0.4459

8775

0.3799

3321

0.3237

8956

65

66

0.5185

4844

0.4404

8173

0.3743

1843

0.3182

2069

66

67

0.5134

1429

0.4350

4368

0.3687

8663

0.3127

4761

67

68

0.5083

3099

0.4296

7277

0.3633

3658

0.3073

6866

68

69

0.5032

9801

0.4243

6817

0.3579

6708

0.3020

8222

69

70

0.4983

1486

0.4191

2905

0.3526

7692

0.2968

8670

70

71

0.4933

8105

0.4139

5462

0.3474

6495

0.2917

8054

71

72

0.4884

9609

0.4088

4407

0.3423

3000

0.2867

6221

72

73

0.4836

5949

0.4037

9661

0.3372

7093

0.2818

3018

73

74

0.4788

7078

0.3988

1 147

0.3322

8663

0.2769

8298

74

75

0.4741

2949

0.3938

8787

0.3273

7599

0.2722

1914

75

>6

0.4694

3514

0.3890

2506

0.3225

3793

0.2675

3724

76

77

0.4647

8726

0.3842

2228

0.3177

7136

0.2629

3586

77

78

0.4601

8541

0.3794

7879

0.3130

7523

0.2584

1362

78

79

0.4556

2912

0.3747

9387

0.3084

4850

0.2539

6916

79

80

0.451 1

1794

0.3701

6679

0.3038

9015

0.2496

0114

80

81

0.4466

5142

0.3655

9683

0.2993

9916

0.2453

0825

81

82

0.4422

2913

0.3610

8329

0.2949

7454

0.2410

8919

82

83

0.4378

5063

0.3566

2547

0.2906

1531

0.2369

4269

83

84

0.4335

1547

0.3522

2268

0.2863

2050

0.2328

6751

84

85

0.4292

2324

0.3478

7426

0.2820

8917

0.2288

6242

85

86

0.4249

7350

0.3435

7951

0.2779

2036

0.2249

2621

86

87

0.4207

6585

0.3393

3779

0.2738

1316

0.2210

5770

87

88

0.4165

9985

0.3351

4843

0.2697

6666

0.2172

5572

88

89

0.4124

7510

0.3310

1080

0.2657

7997

0.2135

1914

89

90

0.4083

91 19

0.3269

2425

0.2618

5218

0.2098

4682

90

91

0.4043

4771

0.3228

8814

0.2579

8245

0.2062

3766

91

92

0.4003

4427

0.3189

0187

0.2541

6990

0.2026

9057

92

93

0.3963

8046

0.3149

6481

0.2504

1369

0.1992

0450

93

94

0.3924

5590

0.3110

7636

0.2467

1300

0.1957

7837

94

95

0.3885

7020

0.3072

3591

0.2430

6699

0.1924

1118

95

96

0.3847

2297

0.3034

4287

0.2394

7487

0.1891

0190

96

97

0.3809

1383

0.2996

9666

0.2359

3583

0.1858

4953

97

98

0.3771

4241

0.2959

9670

0.2324

4909

0.1826

5310

98

99

0.3734

0832

0.2923

4242

0.2290

1389

0.1795

1165

99

100

0.3697

1 121

0.2887

3326

0.2256

2944

0.1764

2422

100

17

Present Value of 1 at Compound Interest

TABLE II.

v"={i-\-iy

n

2'.

c

2h'

t

9 1 '

c

2%^c

n

1

0.9803

9216

0.9779

9511

0.9756

0976

0.9732 3601

1

2

0.9611

6878

0.9564

7444

0.9518

1440

0.9471 8833

2

3

0.9423

2233

0.9354

2732

0.9285

9941

0.9218 3779

3

4

0.9238

4543

0.9148

4335

0.9059

5064

0.8971 6573

4

5

0.9057

3081

0.8947

1232

0.8838

5429

0.8731 5400

5

6

0.8879

7138

0.8750

2427

0.8622

9687

0.8497 8491

6

7

0.8705

6018

0.8557

6946

0.8412

6524

0.8270 4128

7

8

0.8534

9037

0.8369

3835

0.8207

4657

0.8049 0635

8

9

0.8367

5527

0.8185

2161

0.8007

2836

0.7833 6385

9

10

0.8203

4830

0.8005

1013

0.781 1

9840

0.7623 9791

10

11

0.8042

6304

0.7828

9499

0.7621

4478

0.7419 9310

11

12

0.7884

9318

0.7656

6748

0.7435

5589

0.7221 3440

12

13

0.7730

3253

0.7488

1905

0.7254

2038

0.7028 0720

13

14

0.7578

7502

0.7323

4137

0.7077

2720

0.6839 9728

14

15

0.7430

1473

0.7162

2628

0.6904

6556

0.6656 9078

15

16

0.7284

4581

0.7004

6580

0.6736

2493

0.6478 7424

16

17

0.7141

6256

0.6850

5212

0.6571

9506

0.6305 3454

17

18

0.7001

5937

0.6699

7763

0.641 1

6591

0.6136 5892

18

19

0.6864

3076

0.6552

3484

0.6255

2772

0.5972 3496

19

20

0.6729

7133

0.6408

1647

0.6102

7094

0.5812 5057

20

21

0.6597

7582

0.6267

1538

0.5953

8629

0.5656 9398

21

22

0.6468

3904

0.6129

2457

0.5808

6467

0.5505 5375

22

23

0.6341

5592

0.5994

3724

0.5666

9724

0.5358 1874

23

24

0.6217

2149

0.5862

4668

0.5528

7535

0.5214 7809

24

25

0.6095

3087

0.5733

4639

0.5393

9059

0.5075 2126

25

26

0.5975

7928

0.5607

2997

0.5262

3472

0.4939 3796

26

27

0.5858

6204

0.5483

91 17

0.5133

9973

0.4807 1821

27

28

0.5743

7455

0.5363

2388

0.5008

7778

0.4678 5227

28

29

0.5631

1231

0.5245

2213

0.4886

6125

0.4553 3068

29

30

0.5520

7089

0.5129

8008

0.4767

4269

0.4431 4421

30

31

0.5412

4597

0.5016

9201

0.4651

1481

0.4312 8391

31

32

0.5306

3330

0.4906

5233

0.4537

7055

0.4197 4103

32

33

0.5202

2873

0.4798

5558

0.4427

0298

0.4085 0708

33

34

0.5100

2817

0.4692

9641

0.4319

0534

0.3975 7380

34

35

0.5000

2761

0.4589

6960

0.4213

7107

0.3869 3314

35

36

0.4902

2315

0.4488

7002

0.4110

9372

0.3765 7727

36

37

0.4806

1093

0.4389

9268

0.4010

6705

0.3664 9856

37

38

0.4711

8719

0.4293

3270

0.3912

8492

0.3566 8959

38

39

0.4619

4822

0.4198

8528

0.3817

4139

0.3471 4316

39

40

0.4528

9042

0.4106

4575

0.3724

3062

0.3378 5222

40

41

0.4440

1021

0.4016

0954

0.3633

4695

0.3288 0995

41

42

0.4353

0413

0.3927

7216

0.3544

8483

0.3200 0968

42

43

0.4267

6875

0.3841

2925

0.3458

3886

0.31 14 4495

43

44

0.4184

0074

0.3756

7653

0.3374

0376

0.3031 0944

44

45

0.4101

9680

0.3674

0981

0.3291

7440

0.2949 9702

45

46

0.4021

5373

0.3593

2500

0.3211

4576

0.2871 0172

46

47

0.3942

6836

0.3514

1809

0.3133

1294

0.2794 1773

47

48

0.3865

3761

0.3436

8518

0.3056

7116

0.2719 3940

48

49

0.3789

5844

0.3361

2242

0.2982

1576

0.2646 6122

49

50

0.3715

2788

0.3287

2608

0.2909

4221

0.2575 7783

50

18

Present Value of 1 at Compound Interest

TABLE II.

i;"=(l+i)-"

n

2%

2h%

2h%

2%^o

n

51

0.3642 4302

0.3214 9250

0.2838 4606

0.2506 8402

51

52

0.3571 0100

0.3144 1810

0.2769 2298

0.2439 7471

52

53

0.3500 9902

0.3074 9936

0.2701 6876

0.2374 4497

53

54

0.3432 3433

0.3007 3287

0.2635 7928

0.2310 9000

54

55

0.3365 0425

0.2941 1528

0.2571 5052

0.2249 0511

55

56

0.3299 0613

0.2876 4330

0.2508 7855

0.2188 8575

56

57

0.3234 3738

0.2813 1374

0.2447 5956

0.2130 2749

57

58

0.3170 9547

0.2751 2347

0.2387 8982

0.2073 2603

58

59

0.3108 7791

0.2690 6940

0.2329 6568

0.2017 7716

59

60

0.3047 8227

0.2631 4856

0.2272 8359

0.1963 7679

60

61

0.2988 0614

0.2573 5801

0.2217 4009

0.1911 2097

61

62

0.2929 4720

0.2516 9487

0.2163 3179

0.1860 0581

62

63

0.2872 0314

0.2461 5635

0.2110 5541

0.1810 2755

63

64

0.2815 7170

0.2407 3971

0.2059 0771

0.1761 8253

64

65

0.2760 5069

0.2354 4226

0.2008 8557

0.1714. 6718

65

66

0.2706 3793

0.2302 6138

0.1959 8593

0.1668 7804

66

67

0.2653 3130

0.2251 9450

0.1912 0578

0.1624 1172

67

68

0.2601 2873

0.2202 3912

0.1865 4223

0.1580 6493

68

69

0.2550 2817

0.2153 9278

0.1819 9241

0.1538 3448

69

70

0.2500 2761

0.2106 5309

0.1775 5358

0.1497 1726

70

71

0.2451 2511

0.2060 1769

0.1732 2300

0.1457 1023

71

72

0.2403 1874

0.2014 8429

0.1689 9805

0.1418 1044

72

73

0.2356 0661

0.1970 5065

0.1648 7615

0.1380 1503

73

74

0.2309 8687

0.1927 1458

0.1608 5478

0.1343 2119

74

75

0.2264 5771

0.1884 7391

0.1569 3148-

0.1307 2622

75

76

0.2220 1737

0.1843 2657

0.1531 0389

0.1272 2747

76

77

0.2176 6408

0.1802 7048

0.1493 6965

0.1238 2235

77

78

0.2133 9616

0.1763 0365

0.1457 2649

0.1205 0837

78

79

0.2092 1 192

0.1724 2411

0.1421 7218

0.1172 8309

79

80

0.2051 0973

0.1686 2993

0.1387 0457

0.1141 4412

80

81

0.2010 8797

0.1649 1925

0.1353 2153

0.1110 8917

81

82

0.1971 4507

0.1612 9022

0.1320 2101

0.1081 1598

82

83

0.1932 7948

0.1577 4105

0.1288 0098

0.1052 2237

83

84

0.1894 8968

0.1542 6997

0.1256 5949

0.1024 0620

84

85

0.1857 7420

0.1508 7528

0.1225 9463

0.0996 6540

85

86

0.1821 3157

0.1475 5528

0.1196 0452

0.0969 9795

86

87

0.1785 6036

0.1443 0835

0.1166 8733

0.0944 0190

87

88

0.1750 5918

0.1411 3286

0.1 138 4130

0.0918 7533

88

89

0.1716 2665

0.1380 2724

0.1110 6468

0.0894 1638

89

90

0.1682 6142

0.1349 8997

0.1083 5579

0.0870 2324

90

91

0.1649 6217

0.1320 1953

0.1057 1296

0.0846 9415

91

92

0.1617 2762

0.1291 1445

0.1031 3460

0.0824 2740

92

93

0.1585 5649

0.1262 7331

0.1006 1912

0.0802 2131

93

94

0.1554 4754

0.1234 9468

0.0981 6500

0.0780 7427

94

95

0.1523 9955

0.1207 7719

0.0957 7073

0.0759 8469

95

96

0.1494 1132

0.1181 1950

0.0934 3486

0.0739 5104

96

97

0.1464 8169

0.1155 2029

' 0.0911 5596

0.0719 7181

97

98

0.1436 0950

0.1129 7828

0.0889 3264

0.0700 4556

1 98

99

' 0.1407 9363

0.1104 9221

0.0867 6355

0.0681 7086

99

100

0.1380 3297

0.1080 6084

0.0846 4737

0.0663 4634

100

19

Present -Value of 1 at Compound Interest

TABLE II.

v"={i+iy

n

3h'

/c

i9

;

^h7c

n

1

0.9708

7379

0.9661

8357

0.9615

3846

0.9569 3780

1

2

0.9425

9591

0.9335

1070

0.9245

5621

0.9157 2995

2

3

0.9151

4166

0.9019

4271

0.8889

9636

0.8762 9660

3

4

0.8884

8705

0.8714

4223

0.8548

0419

0.8385 6134

4

5

0.8626

0878

0.8419

7317

0.8219

2711

0.8024 5105

5

6

0.8374

8426

0.8135

0064

0.7903

1453

0.7678 9574

6

7

0.8130

9151

0.7859

9096

0.7599

1781

0.7348 2846

7

8

0.7894

0923

0.7594

1 156

0.7306

9021

0.7031 8513

8

9

0.7664

1673.

0.7337

3097

0.7025

8674

0.6729 0443

9

10

0.7440

9391

0.7089

1881

0.6755

6417

0.6439 2768

10

11

0.7224

2128

0.6849

4571

0.6495

8093

0.6161 9874

11

12

0.7013

7988

0.6617

8330

0.6245

9705

0.5896 6386

12

13

0.6809

5134

0.6394

0415

0.6005

7409

0.5642 7164

13

14

0.6611

1781

0.6177

8179

0.5774

7508

0.5399 7286

14

15

0.6418

6195

0.5968

9062

0.5552

6450

0.5167 2044

15

16

0.6231

6694

0.5767

0591

0.5339

0818

0.4944 6932

16

17

0.6050

1645

0.5572

0378

0.5133

7325

0.4731 7639

17

18

0.5873

9461

0.5383

6114

0.4936

2812

0.4528 0037

18

19

0.5702

8603

0.5201

5569

0.4746

4242

0.4333 0179

19

20

0.5536

7575

0.5025

6588

0.4563

8695

0.4146 4286

20

21

0.5375

4928

0.4855

7090

0.4388

3360

0.3967 8743

21

22

0.5218

9250

0.4691

5063

0.4219

5539

0.3797 0089

22

23

0.5066

9175

0.4532

8563

0.4057

2633

0.3633 5013

23

24

0.4919

3374

0.4379

5713

0.3901

2147

0.3477 0347

24

25

0.4776

0557

0.4231

4699

0.3751

1680

0.3327 3060

25

26

0.4636

9473

0.4088

3767

0.3606

8923

0.3184 0248

26

27

0.4501

8906

0.3950

1224

0.3468

1657

0.3046 9137

27

28

0.4370

7675

0.3816

5434

0.3334

7747

0.2915 7069

28

29

0.4243

4636

0.3687

4815

0.3206

5141

0.2790 1502

29

30

0.4119

8676

0.3562

7841

0.3083

1867

0.2670 0002

30

31

0.3999

8715

0.3442

3035

0.2964

6026

0.2555 0241

31

32

0.3883

3703

0.3325

8971

0.2850

5794

0.2444 9991

32

33

0.3770

2625

0.3213

4271

0.2740

9417

0.2339 7121

33

34

0.3660

4490

0.3104

7605

0.2635

5209

0.2238 9589

34

35

0.3553

8340

0.2999

7686

0.2534

1547

0.2142 5444

35

36

0.3450

3243

0.2898

3272

0.2436

6872

0.2050 2817

36

37

0.3349

8294

0.2800

3161

0.2342

9685

0.1961 9921

37

38

0.3252

2615

0.2705

6194

0.2252

8543

0.1877 5044

38

39

0.3157

5355

0.2614

1250

0.2166

2061

0.1796 6549

39

40

0.3065

5684

0.2525

7247

0.2082

8904

0.1719 2870

40

41

0.2976

2800

0.2440

3137

0.2002

7793

0.1645 2507

41

42

0.2889

5922

0.2357

7910

0.1925

7493

0.1574 4026

42

43

0.2805

4294

0.2278

0590

0.1851

6820

0.1506 6054

43

44

0.2723

7178

0.2201

0231

0.1780

4635

0.1441 7276

44

45

0.2644

3862

0.2126

5924

0.171 1

9841

0.1379 6437

45

46

0.2567

3653

0.2054

6787

0.1646

1386

0.1320 2332

46

47

0.2492

5876

0.1985

1968

0.1582

8256

0.1263 3810

47

48

0.2419

9880

0.1918

0645

0.1521

9476

0.1208 9771

48

49

0.2349

5029

0.1853

2024

0.1463

4112

0.1156 9158

49

50

0.2281

0708

0.1790

5337

0.1407

1262

0.1107 0965

50

20

Present Value of 1 at Compound Interest

TABLE II.

v^={i-\-iy

n

3%

3^%

4%

4>^%

n

51

0.2214

6318

0.1729

9843

0.1353

0059

0.1059

4225

51

52

0.2150

1280

0.1671

4824

0.1300

9672

0.1013

8014

52

53

0.2087

5029

0.1614

9589

0.1250

9300

0.0970

1449

53

54

0.2026

7019

0.1560

3467

0.1202

8173

0.0928

3683

54

55

0.1967

6717

0.1507

5814

0.1156

5551

0.0888

3907

55

56

0.1910

3609

0.1456

6004

0.1112

0722

0.0850

1347

56

57

0.1854

7193

0.1407

3433

0.1069

3002

0.0813

5260

57

58

0.1800

6984

0.1359

7520

0.1028

1733

0.0778

4938

58

59

0.1748

2508

0.1313

7701

0.0988

6282

0.0744

9701

59

60

0.1697

3309

0.1269

3431

0.0950

6040

0.0712

8901

60

61

0.1647

8941

0.1226

4184

0.0914

0423

0.0682

1915

61

62

0.1599

8972

0.1 184

9453

0.0878

8868

0.0652

8148

62

63

0.1553

2982

0.1 144

8747

0.0845

0835

0.0624

7032

63

64

0.1508

0565

0.1106

1591

0.0812

5803

0.0597

8021

64

65

0.1464

1325

0.1068

7528

0.0781

3272

0.0572

0594

65

66

0.1421

4879

0.1032

6114

0.0751

2762

0.0547

4253

66

67

0.1380

0853

0.0997

6922

0.0722

3809

0.0523

8519

67

68

0.1339

8887

0.0963

9538

0.0694

5970

0.0501

2937

68

69

0.1300

8628

0.0931

3563

0.0667

8818

0.0479

7069

69

70

0.1262

9736

0.0899

8612

0.0642

1940

0.0459

0497

70

71

0.1226

1880

0.0869

4311

0.0617

4942

0.0439

2820

71

72

0.1190

4737

0.0840

0300

0.0593

7445

0.0420

3655

72

73

0.1155

7998

0.0811

6232

0.0570

9081

0.0402

2637

73

74

0.1122

1357

0.0784

1770

0.0548

9501

0.0384

9413

74

75

0.1089

4521

0.0757

6590

0.0527

8367

0.0368

3649

75

76

0 1057

7205

0.0732

0376

0.0507

5353

0.0352

5023

76

77

0.1026

9131

0.0707

2827

0.0488

0147

0.0337

3228

77

78

0.0997

0030

0.0683

3650

0.0469

2449

0.0322

7969

78

79

0.0967

9641

0.0660

2560

0.0451

1970

0.0308

8965

79

80

0.0939

7710

0.0637

9285

0.0433

8433

0.0295

5948

80

81

0.0912

3990

0.0616

3561

0.0417

1570

0.0282

8658

81

82

0.0885

8243

0.0595

5131

0.0401

1125

0.0270

6850

82

83

0.0860

0236

0.0575

3750

0.0385

6851

0.0259

0287

83

84

0.0834

9743

0.0555

9178

0.0370

8510

0.0247

8744

84

85

0.0810

6547

0.0537

1187

0.0356

5875

0.0237

2003

85

86

0.0787

0434

0.0518

9553

0.0342

8726

0.0226

9860

86

87

0.0764

1198

0.0501

4060

0.0329

6852

0.0217

2115

87

88

0.0741

8639

0.0484

4503

0.0317

0050

0.0207

8579

88

89

0.0720

2562

0.0468

0679

0.0304

8125

0.0198

9070

89

90

0.0699

2779

0.0452

2395

0.0293

0890

0.0190

3417

90

91

0.0678

9105

0.0436

9464

0.0281

8163

0.0182

1451

91

92

0.0659

1364

0.0422

1704

0.0270

9772

0.0174

3016

92

93

0.0639

9383

0.0407

8941

0.0260

5550

0.0166

7958

93

94

0.0621

2993

0.0394

1006

0.0250

5337

0.0159

6132

94

95

0.0603

2032

0.0380

7735

0.0240

8978

0.0152

7399

95

96

0.0585

6342

0.0367

8971

0.0231

6325

0.0146

1626

96

97

0.0568

5769

0.0355

4562

0.0222

7235

0.0139

8685

97

98

0.0552

0164

0.0343

4359

0.0214

1572

0.0133

8454

98

99

0.0535

9383

0.0331

8221

0.0205

9204

0.0128

0817

99

100

0.0520

3284

0.0320

6011

0.0198

0004

0.0122

5663

100

21

Present Value of 1 at Compound Interest

TABLE II.

V

(1 + i)-"

n

5%

5h%

6%

TSc

n

1

0.9523 8095

0.9478 6730

0.9433 9623

0.9345 7944

1

2

0.9070 2948

0.8984 5242

0.8899 9644

0.8734 3873

2

3

0.8638 3760

0.8516 1366

0.8396 1928

0.8162 9788

3

4

0.8227 0247

0.8072 1674

0.7920 9366

0.7628 9521

4

5

0.7835 2617

0.7651 3435

0.7472 5817

0.7129 8618

1

5

6

0.7462 1540

0.7252 4583

0.7049 6054

0.6663 4222

6

7

0.7106 8133

0.6874 3681

0.6650 5711

0.6227 4974

7

8

0.6768 3936

0.6515 9887

0.6274 1237

0.5820 0910

8

9

0.6446 0892

0.6176 2926

0.5918 9846

0.5439 3374

9

10

0.6139 1325

0.5854 3058

0.5583 9478

0.5083 4929

10

11

0.5846 7929

0.5549 1050

0.5267 8753

0.4750 9280

11

12

0.5568 3742

0.5259 8152

0.4969 6936

0.4440 1 196

12

13

0.5303 2135

0.4985 6068

0.4688 3902

0.4149 6445

13

14

0.5050 6795

0.4725 6937

0.4423 0096

0.3878 1724

14

15

0.4810 1710

0.4479 3305

0.4172 6506

0.3624 4602

15

16

0.4581 1152

0.4245 8109

0.3936 4628

0.3387 3460

16

17

0.4362 9669

0.4024 4653

0.3713 6442

0.3165 7439

17

18

0.4155 2065

0.3814 6590

0.3503 4379

0.2958 6392

18

19

0.3957 3396

0.3615 7906

0.3305 1301

0.2765 0832

19

20

0.3768 8948

0.3427 2896

0.3118 0473

0.2584 1900

20

21

0.3589 4236

0.3248 6158

0.2941 5540

0.2415 1309

21

22

0.3418 4987

0.3079 2567

0.2775 0510

0.2257 1317

22

23

0.3255 7131

0.2918 7267

0.2617 9726

0.2109 4688

23

24

0.3100 6791

0.2766 5656

0.2469 7855

0.1971 4662

24

25

0.2953 0277

0.2622 3370

0.2329 9863

0.1842 4918

25

26

0.2812 4073

0.2485 6275

0.2198 1003

0.1721 9549

26

27

0.2678 4832

0.2356 0450

0.2073 6795

0.1609 3037

27

28

0.2550 9364

0.2233 2181

0.1956 3014

0.1504 0221

28

29

0.2429 4632

0.2116 7944

0.1845 5674

0.1405 6282

29

30

0.2313 7745

0.2006 4402

0.1741 1013

0.1313 6712

30

31

0.2203 5947

0.1901 8390

0.1642 5484

0.1227 7301

31

32

0.2098 6617

0.1802 6910

0.1549 5740

0.1147 4113

32

33

0.1998 7254

0.1708 7119

0.1461 8622

0.1072 3470

33

34

0.1903 5480

0.1619 6321

0.1379 1153

0.1002 1934

34

35

0.1812 9029

0.1535 1963

0.1301 0522

0.0936 6294

35

36

0.1726 5741

0.1455 1624

0.1227 4077

0.0875 3546

36

37

0.1644 3563

0.1379 3008

0.1157 9318

0.0818 0884

37

38

0.1566 0536

0.1307 3941

0.1092 3885

0.0764 5686

38

39

0.1491 4797

0.1239 2362

0.1030 5552

0.0714 5501

39

40

0.1420 4568

0.1174 6314

0.0972 2219

0.0667 8038

40

41

0.1352 8160

0.1113 3947

0.0917 1905

0.0624 1157

41

42

0.1288 3962

0.1055 3504

0.0865 2740

0.0583 2857

42

43

0.1227 0440

0.1000 3322

0.0816 2962

0.0545 1268

43

44

0.1168 6133

0.0948 1822

0.0770 0908

0.0509 4643

44

45

0.1112 9651

0.0898 7509

0.0726 5007

0.0476 1349

45

46

0.1059 9668

0.0851 8965

0.0685 3781

0.0444 9859

46

47

0.1009 4921

0.0807 4849

0.0646 5831

0.0415 8747

47

■

48

0.0961 4211

0.0765 3885

0.0609 9840

0.0388 6679

1 48

49

0.0915 6391

0.0725 4867

0.0575 4566

0.0363 2410

49

50

0.0872 0373

0.0687 6652

0.0542 8836

0.0339 4776

50

22

Present Value of 1 at Compound Interest

TABLE II.

i;"=(l + i)-"

n

5%

5h7o

6%

7%

n

51

0.0830

5117

0.0651

8153

0.0512

1544

0.0317

2688

51

52

0.0790

9635

0.0617

8344

0.0483

1645

0.0296

5129

52

53

0.0753

2986

0.0585

6250

0.0455

8156

0.0277

1 148

53

54

0.0717

4272

0.0555

0948

0.0430

0147

0.0258

9858

54

55

0.0683

2640

0.0526

1562

0.0405

6742

0.0242

0428

55

56

0.0650

7276

0.0498

7263

0.0382

7115

0.0226

2083

56

57

0.0619

7406

0.0472

7263

0.0361

0486

0.0211

4096

57

58

0.0590

2291

0.0448

0818

0.0340

61 19

0.0197

5791

58

59

0.0562

1230

0.0424

7221

0.0321

3320

0.0184

6533

59

60

0.0535

3552

0.0402

5802

0.0303

1434

0.0172

5732

60

61

0.0509

8621

0.0381

5926

0.0285

9843

0.0161

2834

61

62

0.0485

5830

0.0361

6992

0.0269

7965

0.0150

7321

62

63

0.0462

4600

0.0342

8428

0.0254

5250

0.0140

8711

63

64

0.0440

4381

0.0324

9695

0.0240

1 179

0.0131

6553

64

65

0.0419

4648

0.0308

0279

0.0226

5264

0.0123

0423

65

66

0.0399

4903

0.0291

9696

0.0213

7041

0.0114

9928

66

67

0.0380

4670

0.0276

7485

0.0201

6077

0.0107

4699

67

68

0.0362

3495

0.0262

3208

0.0190

1959

0.0100

4392

68

69

0.0345

0948

0.0248

6453

0.0179

4301

0.0093

8684

69

70

0.0328

6617

0.0235

6828

0.0169

2737

0.0087

7275

70

71

0.0313

0111

0.0223

3960

0.0159

6921

0.0081

9883

71

72

0.0298

1058

0.0211

7498

0.0150

6530

0.0076

6246

72

73

0.0283

9103

0.0200

7107

0.0142

1254

0.0071

61 17

73

74

0.0270

3908

0.0190

2471

0.0134

0806

0.0066

9269

74

75

0.0257

5150

0.0180

3290

0.0126

4911

0.0062

5485

75

76

0.0245

2524

0.0170

9279

0.0119

3313

0.0058

4565

76

77

0.0233

5737

0.0162

0170

0.0112

5767

0.0054

6323

77

78

0.0222

4512

0.0153

5706

0.0106

2044

0.0051

0582

78

79

0.0211

8582

0.0145

5646

0.0100

1928

0.0047

7179

79

80

0.0201

7698

0.0137

9759

0.0094

5215

0.0044

5962

80

81

0.0192

1617

0.0130

7828

0.0089

1713

0.0041

6787

81

82

0.0183

01 11

0.0123

9648

0.0084

1238

0.0038

9520

82

83

0.0174

2963

0.0117

5022

0.0079

3621

0.0036

4038

83

84

0.0165

9965

0.0111

3765

0.0074

8699

0.0034

0222

84

85

0.0158

0919

0.0105

5701

0.0070

6320

0.0031

7965

85

86

0.0150

5637

0.0100

0664

0.0066

6340

0.0029

7163

86

87

0.0143

3940

0.0094

8497

0.0062

8622

0.0027

7723

87

88

0.0136

5657

0.0089

9049

0.0059

3040

0.0025

9554

88

89

0.0130

0626

0.0085

2180

0.0055

9472

0.0024

2574

89

90

0.0123

8691

0.0080

7753

0.0052

7803

0.0022

6704

90

91

0.0117

9706

0.0076

5643

0.0049

7928

0.0021

1873

91

92

0.0112

3530

0.0072

5728

0.0046

9743

0.0019

8012

92

93

0.0107

0028

0.0068

7894

0.0044

3154

0.0018

5058

93

94

0.0101

9074

0.0065

2032

0.0041

8070

0.0017

2952

94

95

0.0097

0547

0.0061

8040

0.0039

4405

0.0016

1637

95

96

0.0092

4331

0.0058

5820

0.0037

2081

0.0015

1063

96

97

0.0088

0315

0.0055

5279

0.0035

1019

0.0014

1180

97

98

0.0083

8395

0.0052

6331

0.0033

1150

0.0013

1944

98

99

0.0079

8471

0.0049

8892

0.0031

2406

0.0012

3312

99

100

0.0076

0449

0.0047

2883

0.0029

4723

0.0011

5245

100

23

Amount of 1 per Annum at Compound Interest

TABLE III.

Til

[(l + i)"-l]/i

n

1%

1 Vt"

1^%

1 3^t-

n

1

1.0000

0000

, 1.0000

0000

1.0000

0000

1.0000

0000

1

2

2.0100

0000

2.0125

0000

2.0150

0000

2.0175

0000

2

3

3.0301

0000

3.0376

5625

3.0452

2500

3.0528

0625

3

4

4.0604

0100

4.0756

2695

4.0909

0338

4.1062

3036

4

5

5.1010

0501

5.1265

7229

5.1522

6693

5.1780

8939

5

6

6.1520

1506

6.1906

5444

6.2295

5093

6.2687

0596

6

7

7.2135

3521

7.2680

3762

7.3229

9419

7.3784

0831

7

8

8.2856

7056

8.3588

8809

8.4328

3911

8.5075

3045

8

9

9.3685

2727

9.4633

7420

9.5593

3169

9.6564

1224

9

10

10.4622

1254

10.5816

6637

10.7027

2167

10.8253

9945

10

11

11.5668

3467

11.7139

3720

11.8632

6249

12.0148

4394

1 1

12

12.6825

0301

12.8603

6142

13.0412

1 143

13.2251

0371

12

13

13.8093

2804

14.0211

1594

14.2368

2960

14.4565

4303

13

14

14.9474

2132

15.1963

7988

15.4503

8205

15.7095

3253

14

15

16.0968

9554

16.3863

3463

16.6821

3778

16.9844

4935

15

16

17.2578

6449

17.591 1

6382

17.9323

6984

18.2816

7721

16

17

18.4304

4314

18.8110

5336

19.2013

5539

19.6016

0656

17

18

19.6147

4757

20.0461

9153

20.4893

7572

20.9446

3468

18

19

20.8108

9504

21.2967

6893

21.7967

1636

22.3111

6578

19

20

22.0190

0399

22.5629

7854

23.1236

6710

23.7016

1119

20

21

23.2391

9403

23.8450

1577

24.4705

2211

25.1163

8938

21

22

24.4715

8598

25.1430

7847

25.8375

7994

26.5559

2620

22

23

25.7163

0183

26.4573

6695

27.2251

4364

28.0206

5490

23

24

26.9734

6485

27.7880

8403

28.6335

2080

29.5110

1637

24

25

28.2431

9950

29.1354

3508

30.0630

2361

31.0274

5915

25

26

29.5256

3150

30.4996

2802

31.5139

6896

32.5704

3969

26

27

30.8208

8781

31.8808

7337

32.9866

7850

34.1404

2238

27

28

32.1290

9669

33.2793

8429

34.4814

7867

35.7378

7977

28

29

33.4503

8766

34.6953

7659

35.9987

0085

37.3632

9267

29

30

34.7848

9153

36.1290

6880

37.5386

8137

39.0171

5029

30

31

36.1327

4045

37.5806

8216

39.1017

6159

40.6999

5042

31

32

37.4940

6785

39.0504

4069

40.6882

8801

42.4121

9955

32

33

38.8690

0853

40.5385

7120

42.2986

1233

44.1544

1305

33

34

40.2576

9862

42.0453

0334

43.9330

9152

45.9271

1527

34

35

41.6602

7560

43.5708

6963

45.5920

8789

47.7308

3979

35

36

43.0768

7836

45.1155

0550

47.2759

6921

49.5661

2949

36

37

44.5076

4714

46.6794

4932

48.9851

0874

51.4335

3675

37

38

45.9527

2361

48.2629

4243

50.7198

8538

53.3336

2365

38

39

47.4122

5085

49.8662

2921

52.4806

8366

55.2669

6206

39

40

48.8863

7336

51.4895

5708

54.2678

9391

57.2341

3390

40

41

50.3752

3709

53.1331

7654

56.0819

1232

59.2357

3124

41

42

51.8789

8946

54.7973

4125

57.9231

4100

61.2723

5654

42

43

53.3977

7936

56.4823

0801

59.7919

8812

63.3446

2278

43

44

54.9317

5715

58.1883

3687

61.6888

6794

65.4531

5367

44

45

56.4810

7472

59.9156

9108

63.6142

0096

67.5985

8386

45

46

58.0458

8547

61.6646

3721

65.5684

1398

69.7815

5908

46

47

59.6263

4432

63.4354

4518

67.5519

4018

72.0027

3637

47

48

61.2226

0777

65.2283

8824

69.5652

1929

74.2627

8425

48

49

62.8348

3385

67.0437

4310

71.6086

9758

76.5623

8298

49

50

64.4631

8218

68.8817

8989

73.6828

2804

78.9022

2468

50

24

Amount of 1 per Annum at Compound Interest

TABLE III. ^r = [(! + ')"- 1] '

n

I'c

ih7c

ih%

1%%

II

51

66.1078

1401

70.7428

1226

75.7880

7046

81.2830

1361

51

52

67.7688

9215

72.6270

9741

77.9248

9152

83.7054

6635

52

53

69.4465

8107

74.5349

3613

80.0937

6489

86.1703

1201

53

54

71.1410

4688

76.4666

2283

82.2951

7136

88.6782

9247

54

55

72.8524

5735

78.4224

5562

84.5295

9893

91.2301

6259

55

56

74.5809

8192

80.4027

3631

86.7975

4292

93.8266

9043

56

57

76.3267

9174

82.4077

7052

89.0995

0606

96.4686

5752

57

58

78.0900

5966

84.4378

6765

91.4359

9865

99.1568

5902

58

59

79.8709

6025

86.4933

4099

93.8075

3863

101.8921

0405

59

60

81.6696

6986

88.5745

0776

96.2146

5171

104.6752

1588

60

61

83.4863

6655

90.6816

8910

98.6578

7149

107.5070

3215

61

62

85.3212

3022

92.8152

1022

101.1377

3956

110.3884

0522

62

63

87.1744

4252

94.9754

0034

103.6548

0565

113.3202

0231

63

64

89.0461

8695

97.1625

9285

106.2096

2774

116.3033

0585

64

65

90.9366

4882

99.3771

2526

108.8027

7215

119.3386

1370

65

66

92.8460

1531

101.6193

3933

111.4348

1374

122.4270

3944

66

67

94.7744

7546

103.8895

8107

1 14.1063

3594

125.5695

1263

67

68

96.7222

2021

106.1882

0083

1 16.8179

3098

128.7669

7910

68

69

98.6894

4242

108.5155

5334

1 19.5701

9995

132.0204

0124

69

70

100.6763

3684

110.8719

9776

122.3637

5295

135.3307

5826

70

71

102.6831

0021

113.2578

9773

125.1992

0924

138.6990

4653

71

72

104.7099

3121

115.6736

2145

128.0771

9738

142.1262

7984

72

73

106.7570

3052

1 18.1 195

4172

130.9983

5534

145.6134

8974

73

74

108.8246

0083

120.5960

3599

133.9633

3067

149.1617

2581

74

75

110.9128

4684

123.1034

8644

136.9727

8063

152.7720

5601

75

76

113.0219

7530

125.6422

8002

140,0273

7234

156.4455

6699

76

77

115.1521

9506

128.2128

0852

143.1277

8292

160.1833

6441

77

78

117.3037

1701

130.8154

6863

146.2746

9967

163.9865

7329

78

79

119.4767

5418

133.4506

6199

149.4688

2016

167.8563

3832

79

80

121.6715

2172

136.1 187

9526

152.7108

5247

171.7938

2424

80

81

123.8882

3694

138.8202

8020

156.0015

1525

175.8002

1617

81

82

126.1271

1931

141.5555

3370

159.3415

3798

179.8767

1995

82

83

128.3883

9050

144.3249

7787

162.7316

6105

184.0245

6255

83

84

130.6722

7440

147.1290

4010

166.1726

3597

188.2449

9239

84

85

132.9789

9715

149.9681

5310

169.6652

2551

192.5392

7976

85

86

135.3087

8712

152.8427

5501

173.2102

0389

196.9087

1716

86

87

137.6618

7499

155.7532

8945

176.8083

5695

201.3546

1971

87

88

140.0384

9374

158.7002

0557

180.4604

8230

205.8783

2555

88

89

142.4388

7868

161.6839

5814

184.1673

8954

210.481 1

9625

89

90

144.8632

6746

164.7050

0762

187.9299

0038

215.1646

1718

90

91

147.31 19

0014

167.7638

2021

191.7488

4889

219.9299

9798

91

92

149.7850

1914

170.8608

6796

195.6250

8162

224.7787

7295

92

93

152.2828

6933

173.9966

2881

199.5594

5784

229.7124

0148

93

94

154.8056

9803

177.1715

8667

203.5528

4971

234.7323

6850

94

95

157.3537

5501

180.3862

1

3151

207.6061

4246

239.8401

8495

95

96

159.9272

9256

183.6410

5940

211.7202

3459

245.0373

8819

96

97

162.5265

6548

186.9365

7264

215.8960

3811

250.3255

4248

97

98

165.1518

31 14

190.2732

7980

220.1344

7868

255.7062

3947

98

99

167.8033

4945

193.6516

9580

224.4364

9586

261.1810

9866

99

100

170.4813

8294

197.0723

4200

228.8030

4330

266.7517

6789

100

Amount of 1 per Annum at Compound Interest

TABLE III. -^_ = [(l+0"-l]A

n

2%

2h%

oi, -t •
^-'2 /O

2h%

n

1

1.0000

0000

1.0000

0000

1.0000 0000

1.0000 0000

1

2

2.0200

0000

2.0225

0000

2.0250 0000

2.0275 0000

2

3

3.0604

0000

3.0680

0625

3.0756 2500

3.0832 5625

3

4

4.1216

0800

4.1370

3639

4.1525 1563

4.1680 4580

4

5

5.2040

4016

5.2301

1971

5.2563 2852

5.2826 6706

5

6

6.3081

2096

6.3477

9740

6.3877 3673

6.4279 4040

6

7

7.4342

8338

7.4906

2284

7.5474 3015

7.6047 0876

7

8

8.5829

6905

8.6591

6186

8.7361 1590

8.8138 3825

8

9

9.7546

2843

9.8539

9300

9.9545 1880

10.0562 1880

9

10

10.9497

2100

11.0757

0784

11.2033 8177

11.3327 6482

10

11

12.1687

1542

12.3249

1 127

12.4834 6631

12.6444 1585

11

12

13.4120

8973

13.6022

2177

13.7955 5297

13.9921 3729

12

13

14.6803

3152

14.9082

7176

15.1404 4179

15.3769 2107

13

14

15.9739

3815

16.2437

0788

16.5189 5284

16.7997 8639

14

15

17.2934

1692

17.6091

9130

17.9319 2666

18.2617 8052

15

16

18.6392

8525

19.0053

9811

19.3802 2483

19.7639 7948

16

17

20.0120

7096

20.4330

1957

20.8647 3045

21.3074 8892

17

18

21.4123

1238

21.8927

6251

22.3863 4871

22.8934 4487

18

19

22.8405

5863

23.3853

4966

23.9460 0743

24.5230 1460

19

20

24.2973

6980

24.91 15

2003

25.5446 5761

26.1973 9750

20

21

25.7833

1719

26.4720

2923

27.1832 7405

27.9178 2593

21

22

27.2989

8354

28.0676

4989

28.8628 5590

29.6855 6615

22

23

28.8449

6321

29.6991

7201

30.5844 2730

31.5019 1921

23

24

30.4218

6247

31.3674

0338

32.3490 3798

33.3682 2199

24

25

32.0302

9972

33.0731

6996

34.1577 6393

35.2858 4810

25

26

33.6709

0572

34.8173

1628

36.0117 0803

37.2562 0892

26

27

35.3443

2383

36.6007

0590

37.9120 0073

39.2807 5467

27

28

37.0512

1031

38.4242

2178

39.8598 0075

41.3609 7542

28

29

38.7922

3451

40.2887

6677

41.8562 9577

43.4984 0224

29

30

40.5680

7921

42.1952

6402

43.9027 0316

45.6946 0830

30

31

42.3794

4079

44.1446

5746

46,0002 7074

47.9512 1003

31

32

44.2270

2961

46.1379

1226

48.1502 7751

50.2698 6831

32

33

46.1 115

7020

48.1760

1528

50.3540 3445

52.6522 8969

33

34

48.0338

0160

50.2599

7563

52.6128 8531

55.1002 2765

34

35

49.9944

7763

52.3908

2508

54.9282 0744

57.6154 8391

35

36

51.9943

6719

54.5696

1864

57.3014 1263

60.1999 0972

36

37

54.0342

5453

56.7974

3506

59.7339 4794

62.8554 0724

37

38

56.1149

3962

59.0753

7735

62.2272 9664

65.5839 3094

38

39

58.2372

3841

61.4045

7334

64.7829 7906

68.3874 8904

39

40

60.4019

8318

63.7861

7624

67.4025 5354

71.2681 4499

40

41

62.6100

2284

66.2213

6521

70.0876 1737

74.2280 1898

41

42

64.8622

2330

68.7113

4592

72.8398 0781

77.2692 8950

42

43

67.1594

6777

71.2573

5121

75.6608 0300

80.3941 9496

43

44

69.5026

5712

73.8606

4161

78.5523 2308

83.6050 3532

44

45

71.8927

1027

76.5225

0605

81.5161 3116

86.9041 7379

45

46

74.3305

6447

79.2442

6243

84.5540 3443

90.2940 3857

46

47

76.8171

7576

82.0272

5834

87.6678 8530

93.7771 2463

47

48

79.3535

1927

84.8728

7165

90.8595 8243

97.3559 9556

48

49

81.9405

8966

87.7825

1126

94.1310 7199

101.0332 8544

49

50

84.5794

0145

90.7576

1776

97.4843 4879

104.8117 0079

50

26

Amount of 1 per Annum at Compound Interest

TABLE III.

s- = [(l + i)"-l]/i

n

2%

2h%

2h7o

2%%

n

51

87.2709

8948

93.7996

6416

100.9214

5751

108.6940

2256

51

52

90.0164

0927

96.9101

5661

104.4444

9395

112.6831

0818

52

53

92.8167

3746

100.0906

3513

108.0556

0629

116.7818

9365

53

54

95.6730

7221

103.3426

7442

111.7569

9645

120.9933

9573

54

55

98.5865

3365

106.6678

8460

115.5509

2136

125.3207

1411

55

56

101.5582

6432

110.0679

1200

119.4396

9440

129.7670

3375

56

57

104.5894

2961

113.5444

4002

123.4256

8676

134.3356

2718

57

58

107.6812

1820

117.0991

8992

127.5113

2893

139.0298

5692

58

59

110.8348

4257

120.7339

2169

131.6991

1215

143.8531

7799

59

60

114.0515

3942

124.4504

3493

135.9915

8995

148.8091

4038

60

61

117.3325

7021

128.2505

6972

140.3913

7970

153.9013

9174

61

62

120.6792

2161

132.1362

0754

144.9011

6419

159.1336

8002

62

63

124.0928

0604

136.1092

7221

149.5236

9330

164.5098

5622

63

64

127.5746

6216

140.1717

3083

154.2617

8563

170.0338

7726

64

65

131.1261

5541

144.3255

9477

159.1183

3027

175.7098

0889

65

66

134.7486

7852

148.5729

2066

164.0962

8853

181.5418

2863

66

67

138.4436

5209

152.9158

1137

169.1986

9574

187.5342

2892

67

68

142.2125

2513

157.3564

1713

174.4286

6314

193.6914

2021

68

69

146.0567

7563

161.8969

3651

179.7893

7971

200.0179

3427

69

70

149.9779

1114

166.5396

1758

185.2841

1421

206.5184

2746

70

71

153.9774

6937

171.2867

5898

190.9162

1706

213.1976

8422

71

72

158.0570

1875

176.1407

1106

196.6891

2249

220.0606

2054

72

73

162.2181

5913

181.1038

7705

202.6063

5055

227.1122

8760

73

74

166.4625

2231

186.1787

1429

208.6715

0931

234.3578

7551

74

75

170.7917

7276

191.3677

3536

214.8882

9705

241.8027

1709

75

76

175.2076

0821

196!6735

0941

221.2605

0447

249.4522

9181

76

77

179.7117

6038

202.0986

6337

227.7920

1709

257.3122

2983

77

78

184.3059

9558

207.6458

8329

234.4868

1751

265.3883

1615

78

79

188.9921

1549

213.3179

1567

241.3489

8795

273.6864

9485

79

80

193.7719

5780

219.1175

6877

248.3827

1265

282.2128

7345

80

81

198.6473

9696

225.0477

1407

255.5922

8047

290.9737

2747

81

82

203.6203

4490

231.1112

8763

262.9820

8748

299.9755

0498

82

83

208.6927

5180

237.3112

9160

270.5566

3966

309.2248

3137

83

84

213.8666

0683

243.6507

9567

278.3205

5566

318.7285

1423

84

85

219.1439

3897

250.1329

3857

286.2785

6955

328.4935

4837

85

86

224.5268

1775

256.7609

2969

294.4355

3379

338.5271

2095

86

87

230.0173

5411

263.5380

5060

302.7964

2213

348.8366

1678

87

88

235.6177

0119

270.4676

5674

311.3663

3268

359.4296

2374

88

89

241.3300

5521

277.5531

7902

320.1504

9100

370.3139

3839

89

90

247.1566

5632

284.7981

2555

329.1542

5328

381.4975

7170

90

91

253.0997

8944

292.2060

8337

338.3831

0961

392.9887

5492

91

92

259.1617

8523

299.7807

2025

347.8426

8735

404.7959

4568

92

93

265.3450

2094

307.5257

8645

357.5387

5453

416.9278

3418

93

94

271.6519

2135

315.4451

1665

367.4772

2339

429.3933

4962

94

95

278.0849

5978

323.5426

3177

377.6641

5398

442.2016

6674

95

96

284.6466

5898

331.8223

4099

388.1057

5783

455.3622

1257

96

97

291.3395

9216

340.2883

4366

398.8084

0177

468.8846

7342

97

98

298.1663

8400

348.9448

3139

409.7786

1182

482.7790

0194

98

99

305.1297

1168

357.7960

9010

421.0230

7711

497.0554

2449

99

100

312.2323

0591

366.8465

0213

432.5486

5404

511.7244

4867

100

27

Amount of 1 per Annum at Compound Interest

TABLE III. ■ s^ = [(l+i)"-l] i

n

3^0

4%

4J^%

n

1

1.0000

0000

1.0000

0000

1.0000

0000

1.0000

0000

1

2

2.0300

0000

2.0350

0000

2.0400

0000

2.0450

0000

2

3

2.0909

0000

3.1062

2500

3.1216

0000

3.1370

2500

3

4

4.1836

2700

4.2149

4288

4.2464

6400

4.2781

9113

4

5

5.3091

3581

5.3624

6588

5.4163

2256

5.4707

0973

5

6

6.4684

0988

6.5501

5218

6.6329

7546

6.7168

9166

6

7

7.6624

6218

7.7794

0751

7.8992

9448

8.0191

5179

7

8

8.8923

3605

9.0516

8677

9.2142

2626

9.3800

1362

8

9

10.1591

0613

10.3684

9581

10.5827

9531

10.8021

1423

9

10

1 1.4638

7931

11.7313

9316

12.0061

0712

12.2882

0937

10

11

12.8077

9569

13.1419

9192

13.4863

5141

13.8411

7879

11

12

14.1920

2956

14.6019

6164

15.0258

0546

15.4650

3184

12

13

15.6177

9045

16.1 130

3030

16.6268

3768

17.1599

1327

13

14

17.0863

2416

17.6769

8636

18.2919

11 19

18.9321

0937

14

15

18.5989

1389

19.2956

8088

20.0235

8764

20.7840

5429

15

16

20.1568

8130

20.9710

2971

21.8245

31 14

22.7193

3673

16

17

21.7615

8774

22.7050

1575

23.6975

1239

24.7417

0689

17

18

23.4144

3537

24.4996

9130

25.6454

1288

26.8550

8370

18

19

25.1 168

6844

26.3571

8050

27.6712

2940

29.0635

6246

19

20

26.8703

7449

28.2796

8181

29.7780

7858

31.3714

2277

20

21

28.6764

8572

30.2694

7068

31.9692

1072

33.7831

3680

21

22

30.5367

8030

32.3289

0215

34.2479

6979

36.3033

7795

22

23

32.4528

8370

34.4604

1373

36.6178

8858

38.9370

2996

23

24

34.4264

7022

36.6665

2821

39.0826

0412

41.6891

9631

24

25

36.4592

6432

38.9498

5669

41.6459

0829

44.5652

1015

25

26

38.5530

4225

41.3131

0168

44.31 17

4il62

47.5706

4460

26

27

40.7096

3352

43.7590

6024

47.0842

1440

50.7113

2361

27

28

42.9309

2252

46.2906

2734

49.9675

8298

53.9933

3317

28

29

45.2188

5020

48.9107

9930

52.9662

8630

57.4230

3316

29

30

47.5754

1571

51.6226

7728

56.0849

3775

61.0070

6966

30

31

50.0026

7818

54.4294

7098

59.3283

3526

64.7523

8779

31

32

52.5027

5852

57.3345

0247

62.7014

6867

68.6662

4524

32

33

55.0778

4128

60.3412

1005

66.2095

2742

72.7562

2628

33

34

57.7301

7652

63.4531

5240

69.8579

0851

77.0302

5646

34

35

60.4620

8181

66.6740

1274

73.6522

2486

81.4966

1800

35

36

63.2759

4427

70.0076

0318

77.5983

1385

86.1639

6581

36

37

66.1742

2259

73.4578

6930

81.7022

4640

91.0413

4427

37

38

69.1594

4927

77.0288

9472

85.9703

3626

96.1382

0476

38

39

72.2342

3275

80.7249

0604

90.4091

4971

101.4644

2398

39

40

75.4012

5973

84.5502

7775

95.0255

1570

107.0303

2306

40

41

78.6632

9753

88.5095

3747

99.8265

3633

1 12.8466

8760

41

42

82.0231

9645

92.6073

7128

104.8195

9778

1 18.9247

8854

42

43

85.4838

9234

96.8486

2928

110.0123

8169

125.2764

0402

43

44

89.0484

091 1

101.2383

3130

115.4128

7696

131.9138

4220

44

45

92.7198

6139

105.7816

7290

121.0293

9204

138.8499

6510

45

46

96.5014

5723

1 10.4840

3145

126.8705

6772

146.0982

1353

46

47

100.3965

0095

115.3509

7255

132.9453

9043

153.6726

3314

47

48

104.4083

9598

120.3882

5659

139.2632

0604

161.5879

0163

48

49

108.5406

4785

125.6018

4557

145.8337

3429

169.8593

5720

49

50

112.7968

6729

130.9979

1016

152.6670

8366

178.5030

2828

50

28

Amount of 1 per Annum at Compound Interest

TABLE III.

s_=[(l + i)"-

n

3%

3^%

4%

4^%

n

51

117.1807

7331

136.5828

3702

159.7737

6700

187.5356

6455

51

52

121.6961

9651

142.3632

3631

167.1647

1768

196.9747

6946

52

53

126.3470

8240

148.3459

4958

174.8513

0639

206.8386

3408

53

54

131 .1374

9488

154.5380

5782

182.8453

5865

217.1463

7262

54

55

136.0716

1972

160.9468

8984

191.1591

7299

227.9179

5938

55

56

141.1537

6831

167.5800

3099

199.8055

3991

239.1742

6756

56

57

146.3883

8136

174.4453

3207

208.7977

6151

250.9371

0960

57

58

151.7800

3280

181.5509

1869

218.1496

7197

263.2292

7953

58

59

157.3334

3379

188.9052

0085

227.8756

5885

276.0745

971 1

59

60

163.0534

3680

196.5168

8288

237.9906

8520

289.4979

5398

60

61

168.9450

3991

204.3949

7378

248.5103

1261

303.5253

6190

61

62

175.0133

9110

212.5487

9786

259.4507

251 1

318.1840

0319

62

63

181.2637

9284

220.9880

0579

270.8287

5412

333.5022

8333

63

64

187.7017

0662

229.7225

8599

282.6619

0428

349.5098

8608

64

65

194.3327

5782

238.7628

7650

294.9683

8045

366.2378

3096

65

66

201.1627

4055

248.1195

7718

307.7671

1567

383.7185

3335

66

67

208.1976

2277

257.8037

6238

321.0778

0030

401.9858

6735

67

68

215.4435

5145

267.8268

9406

334.9209

1231

421.0752

3138

68

69

222.9068

5800

278.2008

3535

349.3177

4880

441 .0236

1679

69

70

230.5940

6374

288.9378

6459

364.2904

5876

461.8696

7955

70

71

238.51 18

8565

300.0506

8985

379.8620

7711

483.6538

1513

71

72

246.6672

4222

311.5524

6400

396.0565

6019

506.4182

3681

72

73

255.0672

5949

323.4568

0024

412.8988

2260

530.2070

5747

73

74

263.7192

7727

335.7777

8824

430.4147

7550

555.0663

7505

74

75

272.6308

5559

348.5300

1083

448.6313

6652

581 .0443

6193

75

76

281.8097

8126

361.7285

6121

467.5766

2118

608.1913

5822

76

77

291.2640

7469

375.3890

6085

487.2796

8603

636.5599

6934

77

78

301.0019

9693

389.5276

7798

507.7708

7347

666.2051

6796

78

79

311.0320

5684

404.1611

4671

529.0817

0841

697.1844

0052

79

80

321.3630

1855

419.3067

8685

551.2449

7675

729.5576

9854

80

81

332.0039

0910

434.9825

2439

574.2947

7582

763.3877

9497

81

82

342.9640

2638

451.2069

1274

598.2665

6685

798.7402

4575

82

83

354.2529

4717

467.9991

5469

623.1972

2952

835.6835

5680

83

84

365.8805

3558

485.3791

2510

649.1251

1870

874.2893

1686

84

85

377.8569

5165

503.3673

9448

676.0901

2345

914.6323

3612

85

86

390.1926

6020

521.9852

5329

704.1337

2839

956.7907

9125

86

87

402.8984

4001

541.2547

3715

733.2990

7753

1000.8463

7685

87

88

415.9853

9321

561.1986

5295

763.6310

4063

1046.8844

6381

88

89

429.4649

5500

581.8406

0581

795.1762

8225

1094.9942

6468

89

90

443.3489

0365

603.2050

2701

827.9833

3354

1 145.2690

0659

90

91

457.6493

7076

625.3172

0295

862.1026

6688

1 197.8061

1 189

91

92

472.3788

5189

648.2033

0506

897.5867

7356

1252.7073

8692

92

93

487.5502

1744

671.8904

2073

934.4902

4450

1310.0792

1933

93

94

503.1767

2397

696.4065

8546

972.8698

5428

1370.0327

8420

94

95

519.2720

2569

721.7808

1595

1012.7846

4845

1432.6842

5949

95

96

535.8501

8645

748.0431

4451

1054.2960

3439

1498.1550

5117

96

97

552.9256

9205

775.2246

5457

1097.4678

7577

1566.5720

2847

97

98

570.5134

6281

803.3575

1748

1 142.3665

9080

1638.0677

6976

98

99

588.6288

6669

832.4750

3059

1 189.0612

5443

1712.7808

1939

99

100

607.2877

3270

862.61 16

5666

1237.6237

0461

1790.8559

5627

100

Amount of 1 per Aniiuni at Compound Interest

TABLE III. ^ s-=[(l + D"-l]/i

n

5%

•> 2 /O

6',c

1

IVc

n

1

1.0000 0000

1.0000 0000

1.0000 0000

1.0000 0000

1

2

2.0500 0000

2.0550 0000

2.0600 0000 !

2.0700 0000

2

3

3.1525 0000

3.1680 2500

3.1836 0000

3.2149 0000

3

4

4.3101 2500

4.3422 6638

4.3746 1600

4.4399 4300

4

5

5.5256 3125

5.5810 9103

5.6370 9296

5.7507 3901

5

6

6.8019 1281

6.8880 5103

6.9753 1854

7.1532 9074

6

1

7

8.1420 0845

8.2668 9384

8.3938 3765

8.6540 2109

7

8

9.5491 0888

9.7215 7300

9.8974 6791

10.2598 0257

8

9

1 1.0265 6432

11.2562 5951

11.4913 1598

11.9779 8875

9

10 !

12.5778 9254

12.8753 5379

13.1807 9494

13.8164 4796

10

11

14.2067 8716 1

14.5834 9825

14.9716 4264

15.7835 9932

11

12

15.9171 2652

16.3855 9065

16.8699 4120

17.8884 5127

12

13

17.7129 8285

18.2867 9814

18.8821 3767

20.1406 4286

13

14

19.5986 3199

20.2925 7203

21.0150 6593

22.5504 8786

14

15

21.5785 6359

22.4086 6350

23.2759 6988

25.1290 2201

15

16

23.6574 9177

24.6411 3999

25.6725 2808

27.8880 5355

16

17

25.8403 6636

26.9964 0269

28.2128 7976

30.8402 1730

17

18

28.1323 8467

29.4812 0483

30.9056 5255

33.9990 3251

18

19

30.5390 0391

32.1026 7110

33.7599 9170

37.3789 6479

19

20

33.0659 5410

34.8683 1801

36.7855 9120

40.9954 9232

20

21

35.7192 5181

37.7860 7550

39.9927 2668

44.8651 7678

21

22

38.5052 1440

40.8643 0965

43.3922 9028

49.0057 3916

22

23

41.4304 7512

44.1118 4669

46.9958 2769

53.4361 4090

23

24

44.5019 9887

47.5379 9825

50.8155 7735

58.1766 7076

24

25

47.7270 9882

51.1525 8816

54.8645 1200

63.2490 3772

25

26

51.1 134 5376

54.9659 8051

59.1563 8272

68.6764 7036

26

27

54.6691 2645

58.9891 0943

63.7057 6568

74.4838 2328

27

28

58.4025 8277

63.2335 1045

68.5281 1162

80.6976 9091

28

29

62.3227 1 191

67.7113 5353

73.6397 9832

87.3465 2927

29

30

66.4388 4750

72.4354 7797

79.0581 8622

94.4607 8632

30

31

70.7607 8988

77.4194 2926

84.8016 7739

102.0730 4137

31

32

75.2988 2937

82.6774 9787

90.8897 7803

110.2181 5426

32

33

80.0637 7084

88.2247 6025

97.3431 6471

1 18.9334 2506

33

34

85.0669 5938

94.0771 2207

104.1837 5460

128.2587 6481

34

35

90.3203 0735

100.2513 6378

111.4347 7987

138.2368 7835

35

36

95.8363 2272

106.7651 8879

1 19.1208 6666

148.9134 5984

36

37

101.6281 3886

113.6372 7417

127.2681 1866

160.3374 0202

37

38

107.7095 4580

120.8873 2425

135.9042 0578

172.5610 2017

38

39

114.0950 2309

128.5361 2708

145.0584 5813

185.6402 9158

39

40

120.7997 7424

136.6056 1407

154.7619 6562

199.6351 1199

40

41

127.8397 6295

145.1 189 2285

165.0476 8356

214.6095 6983

41

42

135.2317 51 10

154.1004 6360

175.9505 4457

230.6322 3972

42

43

142.9933 3866

163.5759 8910

187.5075 7724

247.7764 9650

43

44

151.1430 0559

173.5726 6850

199.7580 3188

266.1208 5125

44

45

159.7001 5587

184.1191 6527

212.7435 1379

285.7493 1084

45

46

168.6851 6366

195.2457 1936

226.5081 2462

306.7517 6260

46

47

178.1 194 2185

206.9842 3392

241.0986 1210

329.2243 8598

47

48

188.0253 9294

219.3683 6679

256.5645 2882

353.2700 9300

48

49

198.4266 6259

232.4336 2696

272.9584 0055

378.9989 9951

49

50

209.3479 9572

246.2174 7645

290.3359 0458

406.5289 2947

50

30

Amount of 1 per Annum at Compound Interest
TABLE III. s-, = [(l + i)"-l]/i

n

5%

5H%

6%

7%

n

51

220.8153

9550

260.7594

3765

308.7560

5886

435.9858

5454

51

52

232.8561

6528

276.1012

0672

328.2814

2239

467.5049

7135

52

53

245.4989

7354

292.2867

7309

348.9783

0773

501.2303

1935

53

54

258.7739

2222

309.3625

4561

370.9170

0620

537.3164

4170

54

55

272.7126

1833

327.3774

8562

394.1720

2657

575.9285

9262

55

56

287.3482

4924

346.3832

4733

418.8223

4816

617.2435

9410

56

57

302.7156

6171

366.4343

2593

444.9516

8905

661.4506

4569

57

58

318.8514

4479

387.5882

1386

472.6487

9040

708.7521

9089

58

59

335.7940

1703

409.9055

6562

502.0077

1782

759.3648

4425

59

60

353.5837

1788

433.4503

7173

533.1281

8089

813.5203

8335

60

61

372.2629

0378

458.2901

4217

566.1158

7174

871.4668

1019

61

62

391.8760

4897

484.4960

9999

601.0828

2405

933.4694

8690

62

63

412.4698

5141

512.1433

8549

638.1477

9349

999.8123

5098

63

64

434.0933

4398

541.31 12

7170

677.4366

61 10

1070.7992

1555

64

65

456.7980

1118

572.0833

9164

719.0828

6076

1146.7551

6064

65

66

480.6379

1174

604.5479

7818

763.2278

3241

1228.0280

2188

66

67

505.6698

0733

638.7981

1698

810.0215

0236

1314.9899

8341

67

68

531.9532

9770

674.9320

1341

859.6227

9250

1408.0392

8225

68

69

559.5509

6258

713.0532

7415

912.2001

6005

1507.6020

3201

69

70

588.5285

1071

753.2712

0423

967.9321

6965

1614.1341

7425

70

71

618.9549

3625

795.7011

2046

1027.0080

9983

1728.1235

6645

71

72

650.9026

8306

840.4646

8209

1089.6285

8582

1850.0922

1610

72

73

684.4478

1721

887.6902

3960

1156.0063

0097

1980.5986

7123

73

74

719.6702

0807

937.5132

0278

1226.3666

7903

2120.2405

7821

74

75

756.6537

1848

990.0764

2893

1300.9486

7977

2269.6574

1869

75

76

795.4864

0440

1045.5306

3252

1380.0056

0055

2429.5334

3800

76

77

836.2607

2462

1 104.0348

1731

1463.8059

3659

2600.6007

7866

77

78

879.0737

6085

1165.7567

3226

1552.6342

9278

2783.6428

3316

78

79

924.0274

4889

1230.8733

5254

1646.7923

5035

2979.4978

3148

79

80

971.2288

2134

1299.5713

8693

1746.5998

9137

3189.0626

7969

80

81

1020.7902

6240

1372.0478

1321

1852.3958

8485

3413.2970

6727

81

82

1072.8297

7552

1448.5104

4294

1964.5396

3794

3653.2278

6198

82

83

1 127.4712

6430

1529.1785

1730

2083.4120

1622

3909.9538

1231

83

84

1184.8448

2752

1614.2833

3575

2209.4167

3719

4184.6505

7918

84

85

1245.0870

6889

1704.0689

1921

2342.9817

4142

4478.5761

1972

85

86

1308.3414

2234

1798.7927

0977

2484.5606

4591

4793.0764

4810

86

87

1374.7584

9345

1898.7263

0881

2634.6342

8466

5129.5917

9946

87

88

1444.4964

1812

2004.1562

5579

2793.7123

4174

5489.6632

2543

88

89

1517.7212

3903

2115.3848

4986

2962.3350

8225

5874.9396

5121

89

90

1594.6073

0098

2232.7310

1660

3141.0751

8718

6287.1854

2679

90

91

1675.3376

6603

2356.5312

2252

3330.5396

9841

6728.2884

0667

91

92

1760.1045

4933

2487.1404

3976

3531.3720

8032

7200.2685

9513

92

93

1849.1097

7680

2.624.9331

6394

3744.2544

0514

7705.2873

9679

93

94

1942.5652

6564

2770.3044

8796

3969.9096

6944

8245.6575

1457

94

95

2040.6935

2892

2923.6712

3480

4209.1042

4961

8823.8535

4059

95

96

2143.7282

0537

3085.4731

5271

4462.6505

0459

9442.5232

8843

96

97

2251.9146

1564

3256.1741

7611

4731.4095

3486

10104.4999

1862

97

98

2365.5103

4642

3436.2637

5580

5016.2941

0696

10812.8149

1292

98

99

2484.7858

6374

3626.2582

6237

5318.2717

5337

11570.7119

5683

99

100

2610.0251

5693

3826.7024

!

6680

5638.3680

5857

12381.6617

9381

100

31

Present Value of 1 per Annum at Compound Interest

TABLE IV.

a-=(l-v")/i

n

1%

ih%

ih7c

1%%

n

1

0.9900

9901

0.9876

5432

0.9852

2167

0.9828

0098

1

2

1.9703

9506

1.9631

1538

1.9558

8342

1.9486

9875

2

3

2.9409

8521

2.9265

3371

2.9122

0042

2.8979

8403

3

4

3.9019

6555

3.8780

5798

3.8543

8465

3.8309

4254

4

5

4.8534

3124

4.8178

3504

4.7826

4497

4.7478

5508

5

6

5.7954

7647

5.7460

0992

5.6971

8717

5.6489

9762

6

7

6.7281

9453

6.6627

2585

6.5982

1396

6.5346

4139

7

8

7.6516

7775

7.5681

2429

7.4859

2508

7.4050

5297

8

9

8.5660

1758

8.4623

4498

8.3605

1732

8.2604

9432

9

10

9.4713

0453

9.3455

2591

9.2221

8455

9.1012

2291

10

11

10.3676

2825

10.2178

0337

10.0711

1779

9.9274

9181

11

12

11.2550

7747

11.0793

1 197

10.9075

0521

10.7395

4969

12

13

12.1337

4007

11.9301

8466

11.7315

3222

1 1.5376

4097

13

14

13.0037

0304

12.7705

5275

12.5433

8150

12.3220

0587

14

15

13.8650

5252

13.6005

4592

13.3432

3301

13.0928

8046

15

16

14.7178

7378

14.4202

9227

14.1312

6405

13.8504

9677

16

17

15.5622

5127

15.2299

1829

14.9076

4931

14.5950

8282

17

18

16.3982

6858

16.0295

4893

15.6725

6089

15.3268

6272

18

19

17.2260

0850

16.8193

0759

16.4261

6837

16.0460

5673

19

20

18.0455

5297

17.5993

1613

17.1686

3879

16.7528

8130

20

21

18.8569

8313

18.3696

9495

17.9001

3673

17.4475

4919

21

22

19.6603

7934

19.1305

6291

18.6208

2437

18.1302

6948

22

33

20.4558

2113

19.8820

3744

19.3308

6145

18.8012

4764

23

24

21.2433

8726

20.6242

3451

20.0304

0537

19.4606

8565

24

25

22.0231

5570

21.3572

6865

20.7196

1120

20.1087

8196

25

26

22.7952

0366

22.0812

5299

21.3986

3172

20.7457

3166

26

27

23.5596

0759

22.7962

9925

22.0676

1746

21.3717

2644

27

28

24.3164

4316

23.5025

1778

22.7267

1671

21.9869

5474

28

29

25.0657

8530

24.2000

1756

23.3760

7558

22.5916

0171

29

30

25.8077

0822

24.8889

0623

24.0158

3801

23.1858

4934

30

31

26.5422

8537

25.5692

9010

24.6461

4582

23.7698

7650

31

32

27.2695

8947

26.2412

7418

25.2671

3874

24.3438

5897

32

33

27.9896

9255

26.9049

6215

25.8789

5442

24.9079

6951

33

34

28.7026

6589

27.5604

5644

26.4817

2849

25.4623

7789

34

35

29.4085

8009

28.2078

5822

27.0755

9458

26.0072

5100

35

36

30.1075

0504

28.8472

6737

27.6606

8431

26.5427

5283

36

37

30.7995

0994

29.4787

8259

28.2371

2740

27.0690

4455

37

38

31.4846

6330

30.1025

0133

28.8050

5163

27.5862

8457

38

39

32.1630

3298

30.7185

1983

29.3645

8288

28.0946

2857

39

40

32.8346

8611

31.3269

3316

29.9158

4520

28.5942

2955

40

41

33.4996

8922

31.9278

3522

30.4589

6079

29.0852

3789

41

42

34.1581

0814

32.5213

1874

30.9940

5004

29.5678

0136

42

43

34.8100

0806

33.1074

7530

31.5212

3157

30.0420

6522

43

44

35.4554

5352

33.6863

9536

32.0406

2223

30.5081

7221

44

45

36.0945

0844

34.2581

6825

32.5523

3718

30.9662

6261

45

46

36.7272

3608

34.8228

8222

33.0564

8983

31.4164

7431

46

47

37.3536

9909

35.3806

2442

33.5531

9195

31.8589

4281

47

48

37.9739

5949

35.9314

8091

34.0425

5365

32.2938

0129

48

49

38.5880

7871

36.4755

3670

34.5246

8339

32.721 1

8063

49

50

39.1961

1753

37.0128

7574

34.9996

8807

33.1412

0946

50

.32

Present Value of 1 per Annum at Compound Interest

TABLE IV. a =(l-v")/i

n

1%

ih%

ih%

.1%%

n

51

39.7981

3617

37.5435

8099

35.4676

7298

33.5540

1421

51

52

40.3941

9423

38.0677

3431

35.9287

4185

33.9597

1913

52

53

40.9843

5072

38.5854

1660

36.3829

9690

34.3584

4633

53

54

41.5686

6408

39.0967

0776

36.8305

3882

34.7503

1579

54

55

42.1471

9216

39.6016

8667

37.2714

6681

35.1354

4550

55

56

42.7199

9224

40.1004

3128

37.7058

7863

35.5139

5135

56

57

43.2871

2102

40.5930

1855

38.1338

7058

35.8859

4727

57

58

43.8486

3468

41.0795

2449

38.5555

3751

36.2515

4523

58

59

44.4045

8879

41 .5600

2419

38.9709

7292

36.6108

5526

59

60

44.9550

3841

42.0345

9179

39.3802

6889

36.9639

8552

60

61

45.5000

3803

42.5033

0054

39.7835

1614

37.3110

4228

61

62

46.0396

4161

42.9662

2275

40.1808

0408

37.6521

3000

62

63

46.5739

0258

43.4234

2988

40.5722

2077

37.9873

5135

63

64

47.1028

7385

43.8749

9247

40.9578

5298

38.3168

0723

64

65

47.6266

0777

44.3209

8022

41.3377

8618

38.6405

9678

65

66

48.1451

5621

44.7614

6195

41.7121

0461

38.9588

1748

66

67

48.6585

7050

45.1965

0563

42.0808

9125

39.2715

6509

67

68

49.1669

0149

45.6261

7840

42.4442

2783

39.5789

3375

68

69

49.6701

9949

46.0505

4656

42.8021

9490

39.8810

1597

69

70

50.1685

1435

46.4696

7562

43.1548

7183

40.1779

0267

70

71

50.6618

9539

46.8836

3024

43.5023

3678

40.4696

8321

71

72

51.1503

9148

47.2924

7431

43.8446

6677

40.7564

4542

72

73

51.6340

5097

47.6962

7093

44.1819

3771

41.0382

7560

73

74

52.1 129

2175

48.0950

8240

44.5142

2434

41.3152

5857

74

75

52.5870

5124

48.4889

7027

44.8416

0034

41.5874

7771

75

76

53.0564

8637

48.8779

9533

45.1641

3826

41.8550

1495

76

77

53.5212

7364

49.2622

1761

45.4819

0962

42.1 179

5081

77

78

53.9814

5905

49.6416

9640

45.7949

8485

42.3763

6443

78

79

54.4370

8817

50.0164

9027

46.1034

3335

42.6303

3359

79

80

54.8882

0611

50.3866

5706

46.4073

2349

42.8799

3474

80

81

55.3348

5753

50.7522

5389

46.7067

2265

43.1252

4298

81

82

55.7770

8666

51.1 133

3717

47.0016

9720

43.3663

3217

82

83

56.2149

3729

51.4699

6264

47.2923

1251

43.6032

7486

83

84

56.6484

5276

51.8221

8532

47.5786

3301

43.8361

4237

84

85

57.0776

7600

52.1700

5958

47.8607

2218

44.0650

0479

85

86

57.5026

4951

52.5136

3909

48.1386

4254

44.2899

3099

86

87

57.9234

1535

52.8529

7688

48.4124

5571

44.5109

8869

87

88

58.3400

1520

53.1881

2531

48.6822

2237

44.7282

4441

88

.89

58.7524

9030

53.5191

361 1

48.9480

0234

44.9417

6355

89

90

59.1608

8148

53.8460

6035

49.2098

5452

45.1516

1037

90

91

59.5652

2919

54.1689

4850

49.4678

3696

45.3578

4803

91

92

59.9655

7346

54.4878

5037

49.7220

0686

45.5605

3860

92

93

60.3619

5392

54.8028

1518

49.9724

2055

45.7597

4310

93

94

60.7544

0982

55.1 138

9154

50.2191

3355

45.9555

2147

94

95

61.1429

8002

55.4211

2744

50.4622

0054

46.1479

3265

95

96

61.5277

0299

55.7245

7031

50.7016

7541

46.3370

3455

96

97

61.9086

1682

56.0242

6698

50.9376

1 124

46.5228

8408

97

98

62.2857

5923

56.3202

6368

51.1700

6034

46.7055

3718

98

99

62.6591

6755

56.6126

0610

51.3990

7422

46.8850

4882

99

100

63.0288

7877

56.9013

3936

51.6247

0367

47.0614

7304

100

33

Present Value of 1 per Annum at Compound Interest

TABLE IV. . a- = (l-v")/i

n

2%

2h%

2h%

2%%

n

1

0.9803 9216

0.9779 9511

0.9756 0976

0.9732 3601

1

2

1.9415 6094

1.9344 6955

1.9274 2415

1.9204 2434

2

3

2.8838 8327

2.8698 9687

2.8560 2356

2.8422 6213

3

4

3.8077 2870

3.7847 4021

3.7619 7421

3.7394 2787

4

5

4.7134 5951

4.6794 5253

4.6458 2850

4.6125 8186

5

1

6

5.6014 3089

5.5544 7680

i 5.5081 2536

5.4623 6678

6

7

6.4719 9107

6.4102 4626

6.3493 9060

6.2894 0806

7

8

7.3254 8144

7.2471 8461

7.1701 3717

7.0943 1441

8

9

8.1622 3671

8.0657 0622

7.9708 6553

7.8776 7826

9

10

8.9825 8501

_8.8662 1635

8.7520 6393

8.6400 7616

10

11

9.7868 4805

9.6491 1134

9.5142 0871

9.3820 6926

11

12

10.5753 4122

10.4147 7882

10.2577 6460

10.1042 0366

12

13

1 1.3483 7375

1 1.1635 9787

10.9831 8497

10.8070 1086

13

14

12.1062 4877

1 1.8959 3924

1 1.5909 1217

1 1.4910 0814

14

15

12.8492 6350

12.6121 6551

12.3813 7773

12.1566 9892

15

16

13.5777 0931

13.3126 3131

13.0550 0266

12.8045 7315

16

17

14.2918 7188

13.9976 8343

13.7121 9772

13.4351 0769

17

18

14.9920 3125

14.6676 6106

14.3533 6363

14.0487 6661

18

19

15.6784 6201

15.3228 9590

14.9788 9134

14.6460 0157

19

20

16.3514 3334

15.9637 1237

15.5891 6229

15.2272 5213

20

21

17.01 12 0916

16.5904 2775

16.1845 4857

15.7929 4612

21

22

17.6580 4820

17.2033 5232

16.7654 1324

16.3434 9987

22

23

18.2922 0412

17.8027 8955

17.3321 1048

16.8793 1861

23

24

18.9139 2560

18.3890 3624

17.8849 8583

17.4007 9670

24

25

19.5234 5647

18.9623 8263

18.4243 7642

17.9083 1795

25

26

20.1210 3576

19.5231 1260

18.9506 1114

18.4022 5592

26

27

20.7068 9780

20.0715 0376

19.4640 1087

18.8829 7413

27

28

21.2812 7236

20.6078 2764

19.9648 8866

19.3508 2640

28

29

21.8443 8466

21.1323 4977

20.4535 4991

19.8061 5708

29

30

22.3964 5555

21.6453 2985

20.9302 9259

20.2493 0130

30

31

22.9377 0152

22.1470 2186

21.3954 0741

20.6805 8520

31

32

23.4683 3482

22.6376 7419

21.8491 7796

21.1003 2623

32

33

23.9885 6355

23.1 175 2977

22.2918 8094

21.5088 3332

33

34

24.4985 9172

23.5868 2618

22.7237 8628

21.9064 0712

34

35

24.9986 1933

24.0457 9577

23.1451 5734

22.2933 4026

35

36

25.4888 4248

24.4946 6579

23.5562 5107

22.6699 1753

36

37

25.9694 5341

24.9336 5848

23.9573 1812

23.0364 1609

37

38

26.4406 4060

25.3629 9118

24.3486 0304

23.3931 0568

38

39

26.9025 8883

25.7828 7646

24.7303 4443

23.7402 4884

39

40

27.3554 7924

26.1935 2221

25.1027 7505

24.0781 0106

40

41

27.7994 8945

26.5951 3174

25.4661 2200

24.4069 1101

41

42

28.2347 9358

26.9879 0390

25.8206 0683

24.7269 2069

42

43

28.6615 6233

27.3720 3316

26.1664 4569

25.0383 6563

43

44

29.0799 6307

27.7477 0969

26.5038 4945

25.3414 7507

44

45

29.4901 5987

28.1151 1950

26.8330 2386

25.6364 7209

45

46

29.8923 1360

28.4744 4450

27.1541 6962

25.9235 7381

46

47

30.2865 8196

28.8258 6259

27.4674 8255

26.2029 9154

47

48

30.6731 1957

29.1695 4777

27.7731 5371

26.4749 3094

48

49

31.0520 7801

29.5056 7019

28.0713 6947

26.7395 9215

49

50

31.4236 0589

29.8343 9627

28.3623 1 168

26.9971 6998

50

34

Present Value of 1 per Annum at Compound Interest

TABLE IV. a =(l-r")/i

n

2%

51

31.7878 4892

52

32.1449 4992

53

32.4950 4894

54

32.8382 8327

55

33.1747 8752

56

33.5046 9365

57

33.8281 3103

58

34.1452 2650

59

34.4561 0441

60

34.7608 8668

61

35.0596 9282

62

35.3526 4002

63

35.6398 4316

64

35.9214 1486

65

36.1974 6555

66

36.4681 0348

67

36.7334 3478

68

36.9935 6351

69

37.2485 9168

70

37.4986 1929

i

71

1
37.7437 4441

72

37.9840 6314

73

38.2196 6975

74

38.4506 5662

75

38.6771 1433

76

38.8991 3170

77

39.1 167 9578

78

39.3301 9194

79

39.5394 0386

80

39.7445 1359

81

39.9456 0156

82

40.1427 4663

83

40.3360 2611

84

40.5255 1579

85

40.7112 8999

86

40.8934 2156

87

41.0719 8192

88

41.2470 4110

89

41.4186 6774

90

41.5869 2916

91

41.7518 9133

92

41.9136 1895

93

42.0721 7545

94

42.2276 2299

95

42.3800 2254

96

42.5294 3386

97

42.6759 1555

98

42.8195 2505

99

42.9603 1867

100

43.0983 5164

2h%

30.1558 8877
30.4703 0687
30.7778 0623
31.0785 3910
31.3726 5438

31.6602 9768
31.9416 1 142
32.2167 3489
32.4858 0429
32.7489 5285

33.0063 1086
33.2580 0573
33.5041 6208
33.7449 0179
33.9803 4405

34.2106 0543
34.4357 9993
34.6560 3905
34.8714 3183
35.0820 8492

35.2881 0261
35.4895 8691
35.6866 3756
35.8793 5214
36.0678 2605

36.2521 5262
36.4324 2310
36.6087 2675
36.781 1 5085
36.9497 8079

37.1 147 0004

37.2759 9026

37.4337 3130

37.5880 0127

37.7388 7655

37.8864 3183
38.0307 4018
38.1718 7304
38.3099 0028
38.4448 9025

38.5769 0978
38.7060 2423
38.8322 9754
38.9557 9221
39.0765 6940

39.1946 8890
39.3102 0920
39.4231 8748
39.5336 7968
39.6417 4052

2H%

28.6461 5774
28.9230 8072
29.1932 4948
29.4568 2876
29.7139 7928

29.9648 5784
30.2096 1740
30.4484 0722
30.6813 7290
.30.9086 5649

31.1303 9657
31.3467 2836
31.5577 8377
31.7636 9148
31.9645 7705

32.1605 6298
32.3517 6876
32.5383 1099
32.7203 0340
32.8978 5698

33.0710 7998
33.2400 7803
33.4049 5417
33.5658 0895
33.7227 4044

33.8758 4433
34.0252 1398
34.1709 4047
34.3131 1265
34.4518 1722

34.5871 3875
34.7191 5976
34.8479 6074
34.9736 2023
35.0962 1486

35.2158 1938
35.3325 0671
35.4463 4801
35.5574 1269
35.6657 6848

35.7714 8144
35.8746 1604
35.9752 3516
36.0734 0016
36.1691 7089

36.2626 0574
36.3537 6170
36.4426 9434
36.5294 5790
36.6141 0526

2%%

27.2478 5400
27.4918 2871
27.7292 7368
27.9603 6368
28.1852 6879

28.4041 5454
28.6171 8203
28.8245 0806
29.0262 8522
29.2226 6201

29.4137 8298
29.5997 8879
29.7808 1634
29.9569 9887
30.1284 6605

30.2953 4409
30.4577 5581
30.6158 2074
30.7696 5522
30.9193 7247

31.0650 8270
31.2068 9314
31.3449 0816
31.4792 2936
31.6099 5558

31.7371 8304
31.8610 0540
31.9815 1377
32.0987 9685
32.2129 4098

32.3240 3015
32.4321 4613
32.5373 6850
32.6397 7469
32.7394 4009

32.8364 3804

32.9308 3994

33.0227 1527

33.1 121 3165

33.1991 5489

33.2838 4905
33.3662 7644
33.4464 9776
33.5245 7202
33.6005 5671

33.6745 0775
33.7464 7956
33.8165 2512
33.8846 9598
33.9510 4232

n

51
52
53
54
55

56
57
58
59
60

61
62
63
64
65

66
67
68
69
70

71
72
73
74
75

76
77
78
79
80

81
82
83
84
85

86
87
88
89
90

91
92
93
94
95

96
97
98
99
100

35

Present Value of 1 per Annum at Compound Interest

TABLE IV. ^ a- = {l-v")/i

n

3%

sh7c

4%

^hVc j

n

1

0.9708 7379

0.9661 8357

0.9615 3846

0.9569 3780

1

2

1.9134 6970

1.8996 9428

1.8860 9467

1.8726 6775

2

3

2.8286 1 135

2.8016 3698

2.7750 9103

2.7489 6435

3

4

3.7170 9840

3.6730 7921

3.6298 9522

3.5875 2570

4

5

4.5797 0719

4.5150 5238

4.4518 2233

1

4.3899 7674

5

6

5.4171 9144

!

5.3285 5302 |

1
5.2421 3686

5.1578 7248

6

7

6.2302 8296 ;

6.1145 4398 '

6.0020 5467

5.8927 0094

7

8

7.0196 9219

6.8739 5554

6.7327 4487

6.5958 8607

8

9

7.7861 0892

7.6076 8651

7.4353 3161

7.2687 9050

9

10

8.5302 0284

8.3166 0532

8.1108 9578

7.9127 1818

10

11

9.2526 241 1

9.0015 5104

8.7604 7671

8.5289 1692

11

12

9.9540 0399

9.6633 3433

9.3850 7376

9.1 185 8078

12

13

10.6349 5533

10.3027 3849

9.9856 4785 |

9.6828 5242

13

14

11.2960 7314

10.9205 2028

10.5631 2293

10.2228 2528

14

15

11.9379 3509

11.5174 1090

11.1183 8743

10.7395 4573

15

16

12.561 1 0203

12.0941 1681

11.6522 9561

11.2340 1505

16

17

13.1661 1847

12.6513 2059

12.1656 6885

11.7071 9143

17

18

13.7535 1308

13.1896 8173

12.6592 9697

12.1599 9180

18

19

14.3237 9911

13.7098 3742

13.1339 3940

12.5932 9359

19

20

14.8774 7486

14.2124 0330

13.5903 2634

13.0079 3645

20

21

15.4150 2414

14.6979 7420

14.0291 5995

13.4047 2388

21

22

15.9369 1664

15.1671 2484

14.4511 1533

13.7844 2476

22

23

16.4436 0839

15.6204 1047

14.8568 4167

14.1477 7489

23

24

16.9355 4212

16.0583 6760

15.2469 6314

14.4954 7837

24

25

17.4131 4769

16.4815 1459

15.6220 7994

14.8282 0896

25

26

17.8768 4242

16.8903 5226

15.9827 6918

15.1466 1 145

26

27

18.3270 3147

17.2853 6451

16.3295 8575

15.4513 0282

27

28

18.7641 0823

17.6670 1885

16.6630 6322

15.7428 7351

28

29

19.1884 5459

18.0357 6700

16.9837 1463

16.0218 8853

29

30

19.6004 4135

18.3920 4541

17.2920 3330

16.2888 8854

30

31

20.0004 2849

18.7362 7576

17.5884 9356

16.5443 9095

31

32

20.3887 6553

19.0688 6547

17.8735 5150

16.7888 9086

32

33

20.7657 9178

19.3902 0818

18.1476 4567

17.0228 6207

33

34

21.1318 3668

19.7006 8423

18.41 1 1 9776

17.2467 5796

34

35

21.4872 2007

20.0006 6110

18.6646 1323

17.4610 1240

35

36

21.8322 5250

20.2904 9381

18.9082 8195

17.6660 4058

36

37

22.1672 3544

20.5705 2542

19.1425 7880

17.8622 3979

37

38

22.4924 6159

20.8410 8736

19.3678 6423

18.0499 9023

38

39

22.8082 1513

21.1024 9987

19.5844 8484

18.2296 5572

39

40

23.1 147 7197

21.3550 7234

19.7927 7388

18.4015 8442

40

41

23.4123 9997

21.5991 0371

19.9930 5181

18.5661 0949

41

42

23.7013 5920

21.8348 8281

20.1856 2674

18.7235 4975

42

43

23.9819 0213

22.0626 8870

20.3707 9494

18.8742 1029

43

44

24.2542 7392

22.2827 9102

20.5488 4129

19.0183 8305

44

45

24.5187 1254

22.4954 5026

20.7200 3970

19.1563 4742

45

46

24.7754 4907

22.7009 1813

20.8846 5356

19.2883 7074

46

47

25.0247 0783

22.8994 3780

21.0429 3612

19.4147 0884

47

48

25.2667 0664

23.0912 4425

21.1951 3088

19.5356 0654

48

49

25.5016 5693

23.2765 6450

21.3414 7200

19.6512 9813

49

50

25.7297 6401

23.4556 1787

21.4821 8462

19.7620 0778

50

36

Present Value of 1 per Annum at Compound Interest

TABLE IV. a- = (l-vn/i

n

3%

3^%

4%

4ig%

fl

51

25.9512

2719

23.6286

1630

21.6174 8521

19.8679 5003

51

52

26.1662

3999

23.7957

6454

21.7475 8193

19.9693 3017

52

53

26.3749

9028

23.9572

6043

21.8726 7493

20.0663 4466

53

54

26.5776

6047

24.1 132

9510

21.9929 5667

20.1591 8149

54

55

26.7744

2764

24.2640

5323

22.1086 1218

20.2480 2057

55

56

26.9654

6373

24.4097

1327

22.2189 1940

20.3330 3404

56

57

27.1509

3566

24.5504

4760

22.3267 4943

20.4143 8664

57

58

27.3310

0549

24.6864

2281

22.4295 6676

20.4922 3602

58

59

27.5058

3058

24.8177

9981

22.5284 2957

20.5667 3303

59

60

27.6755

6367

24.9447

3412

22.6234 8997

20.6380 2204

60

61

27.8403

5307

25.0673

7596

22.7148 9421

20.7062 41 18

61

62

28.0003

4279

25.1858

7049

22.8027 8289

20.7715 2266

62

63

28.1556

7261

25.3003

5796

22.8872 9124

20.8339 9298

63

64

28.3064

7826

25.4109

7388

22.9685 4927

20.8937 7319

64

65

28.4528

9152

25.5178

4916

23.0466 8199

20.9509 7913

65

66

28.5950

4031

25.6211

1030

23.1218 0961

21.0057 2165

66

67

28.7330

4884

25.7208

7951

23.1940 4770

21.0581 0684

67

68

28.8670

3771

25.8172

7489

23.2635 0740

21.1082 3621

68

69

28.9971

2399

25.9104

1052

23.3302 9558

21.1562 0690

69

70

29.1234

2135

26.0003

9664

23.3945 1498

21.2021 1187

70

71

29.2460

4015

26.0873

3975

23.4562 6440

21.2460 4007

71

72

29.3650

8752

26.1713

4275

23.5156 3885

21.2880 7662

72

73

29.4806

6750

26.2525

0508

23.5727 2966

21.3283 0298

73

74

29.5928

8106

26.3309

2278

23.6276 2468

21.3667 9711

74

75

29.7018

2628

26.4066

8868

23.6804 0834

21.4036 3360

75

76

29.8075

9833

26.4798

9244

23.7311 6187

21.4388 8383

76

77

29.S102

8964

26.5506

2072

23.7799 6333

21.4726 1611

77

78

30.0099

8994

26.6189

5721

23.8268 8782

21.5048 9579

78

79

30.1067

8635

26.6849

8281

23.8720 0752

21.5357 8545

79

80

30.2007

6345

26.7487

7567

23.9153 9185

21.5653 4493

80

81

30.2920

0335

26.8104

1 127

23.9571 0754

21.5936 3151

81

82

30.3805

8577

26.8699

6258

23.9972 1879

21.6207 0001

82

83

30.4665

8813

26.9275

0008

24.0357 8730

21.6466 0288

83

84

30.5500

8556

26.9830

9186

24.0728 7240

21.6713 9032

84

85

30.6311

5103

27.0368

0373

24.1085 3116

21.6951 1035

85

86

30.7098

5537

27.0886

9926

24.1428 1842

21.7178 0895

86

87

30.7862

6735

27.1388

3986

24.1757 8694

21.7395 3009

87

88

30.8604

5374

27.1872

8489

24.2074 8745

21.7603 1588

88

89

30.9324

7936

27.2340

9168

24.2379 6870

21.7802 0658

89

90

31.0024

0714

27.2793

1564

24.2672 7759

21.7992 4075

90

91

31.0702

9820

27.3230

1028

24.2954 5923

21.8174 5526

91

92

31.1362

1 184

27.3652

2732

24.3225 5695

21.8348 8542

92

93

31.2002

0567

27.4060

1673

24.3486 1245

21.8515 6499

93

94

31.2623

3560

27.4454

2680

24.3736 6582

21.8675 2631

94

95

31.3226

5592

27.4835

0415

24.3977 5559

21.8828 0030

95

96

31.3812

1934

27.5202

9387

24.4209 1884

21.8974 1655

96

97

31.4380

7703

27.5558

3948

24.4431 9119

21.91 14 0340

97

98

31.4932

7867

27.5901

8308

24.4646 0692

21.9247 8794

98

99

31.5468

7250

27.6233

6529

24.4851 9896

21.9375 9612

99

100

31.5989

0534

27.6554

2540

24.5049 9900

21.9498 5274

100

37

Present Value of 1 per Annum at Compound Interest
TABLE IV. ' ««=(!

-v

')/i

n

5%

5h%

6%

7C7
* /C

n

1

0.9523 8095

0.9478 6730

0.9433 9623

0.9345 7944

1

2

1.8594 1043

1.8463 1971

1.8333 9267

1.8080 1817

2

3

2.7232 4803

2.6979 3338

2.6730 1 195

2.6243 1604

3

4

3.5459 5050

3.5051 5012

3.4651 0561

3.3872 1126

4

5

4.3294 7667

4.2702 8448

4.2123 6379

4.1001 9744

5

6

5.0756 9206

4.9955 3031

4.9173 2433

4.7665 3966

6

7

5.7863 7340

5.6829 6712

5.5823 8144

5.3892 8940

7

8

6.4632 1276

6.3345 6599

6.2097 9381

5.9712 9851

8

9

7.1078 2168

6.9521 9525

6.8016 9227

6.5152 3225

9

10

7.7217 3493

7.5376 2583

7.3600 8705

7.0235 8155

10

11

8.3064 1422

8.0925 3633

7.8868 7458

7.4986 7435

11

12

8.8632 5164

8.6185 1785

8.3838 4394

7.9426 8631

12

13

9.3935 7299

9.-1170 7853

8.8526 8296

8.3576 5075

13

14

9.8986 4094

9.5896 4790

9.2949 8393

8.7454 6800

14

15

10.3796 5804

10.0375 8094

9.7122 4899

9.1079 1402

15

16

10.8377 6956

10.4621 6203

10.1058 9527

9.4466 4861

16

17

1 1.2740 6625

10.8646 0856

10.4772 5969

9.7632 2300

17

18

11.6895 8690

1 1.2460 7447

10.8276 0348

10.0590 8692

18

19

12.0853 2086

11.6076 5352

11.1581 1649

10.3355 9525

19

20

12.4622 1034

11.9503 8249

11.4699 2122

10.5940 1426

20

21

12.8211 5271

12.2752 4406

11.7640 7662

10.8355 2734

21

22

13.1630 0258

12.5831 6973

12.0415 8172

11.0612 4051

22

23

13.4885 7388

12.8750 4240

12.3033 7898

11.2721 8739

23

24

13.7986 4179

13.1516 9895

12.5503 5753

11.4693 3401

24

25

14.0939 4457

13.4139 3266

12.7833 5616

11.6535 8319

25

26

14.3751 8530

13.6624 9541

13.0031 6619

11.8257 7868

26

27

14.6430 3362

13.8980 9991

13.2105 3414

11.9867 0905

27

28

14.8981 2726

14.1214 2172

13.4061 6428

12.1371 1126

28

29

15.1410 7358

14.3331 0116

13.5907 2102

12.2776 7408

29

30

15.3724 5103

14.5337 4517 .

13.7648 3115

12.4090 4119

30

31

15.5928 1050

14.7239 2907

13.9290 8599

12.5318 1420

31

32

15.8026 7667

14.9041 9817

14.0840 4339

12.6465 5533

32

33

16.0025 4921

15.0750 6936

14.2302 2961

12.7537 9003

33

34

16.1929 0401

15.2370 3257

14.3681 4114

12.8540 0937

34

35

16.3741 9429

15.3905 5220

14.4982 4636

12.9476 7231

35

36

16.5468 5171

15.5360 6843

14.6209 8713

13.0352 0777

36

37

16.7112 8734

15.6739 9851

14.7367 8031

13.1170 1661

37

38

16.8678 9271

15.8047 3793

14.8460 1916

13.1934 7346

38

39

17.0170 4067

15.9286 6154

14.9490 7468

13.2649 2847

39

40

17.1590 8635

16.0461 2469

15.0462 9687

13.3317 0885

40

41

17.2943 6796

16.1574 6416

15.1380 1592

13.3941 2042

41

42

17.4232 0758

16.2629 9920

15.2245 4332

13.4524 4900

42

43

17.5459 1198

16.3630 3242

15.3061 7294

13.5069 6168

43

44

17.6627 7331

16.4578 5063

15.3831 8202

13.5579 0811

44

45

17.7740 6982

16.5477 2572

15.4558 3209

13.6055 2160

45

46

17.8800 6650

16.6329 1537

15.5243 6990

13.6500 2019

46

47

17.9810 1571

16.7136 6386

15.5890 2821

13.6916 0765

47

48

18.0771 5782

16.7902 0271

15.6500 2661

13.7304 7444

48

49

18.1687 2173

16.8627 5139

15.7075 7227

13.7767 9855

49

50

18.2559 2546

16.9315 1790

15.7618 6064

13.8007 4630

50

38

Present Value of 1 Per Annum at Compound Interest
TABLE IV. «Hi = (l

■v")/i

n

57o

•> '- ' t

'■'

'•'

/I

51

18.3389

7663

16.9966 9943

15.8130

7607

13.8324

7318

51

52

18.4180

7298

17.0584 8287

15.8613

9252

13.8621

2446

52

53

18.4934

0284

17.1 170 4538

15.9069

7408

13.8898

3594

53

54

18.5651

4556

17.1725 5486

15.9499

7554

13.9157

3452

54

55

18.6334

7196

17.2251 7048

15.9905

4297

13.9399

3881

55

56

18.6985

4473

17.2750 4311

16.0288

1412

13.9625

5964

56

57

18.7605

1879

17.3223 1575

16.0649

1898

13.9837

0059

57

58

18.8195

4170

17.3671 2393

16.0989

8017

14.0034

5850

58

59

18.8757

5400

17.4095 9614

16.131 1

1337

14.0219

2383

59

60

18.9292

8952

17.4498 5416

16.1614

2771

14.0391

8115

60

61

18.9802

7574

17.4880 1343

16.1900

2614

14.0553

0949

61

62

19.0288

3404

17.5241 8334

16.2170

0579

14.0703

8270

62

63

19.0750

8003

17.5584 6762

16.2424

5829

14.0844

6981

63

64

19.1 191

2384

17.5909 6457

16.2664

7009

14.0976

3534

64

65

19.1610

7033

17.6217 6737

16.2891

2272

14.1099

3957

65

66

19.2010

1936

17.6509 6433

16.3104

9314

14.1214

3885

66

67

19.2390

6606

17.6786 3917

16.3306

5390

14.1321

8584

67

68

19.2753

0101

17.7048 7125

16.3496

7349

14.1422

2976

68

69

19.3098

1048

17.7297 3579

16.3676

1650

14.1516

1660

69

70

19.3426

7665

17.7533 0406

16.3845

4387

14.1603

8934

70

71

19.3739

7776

17.7756 4366

16.4005

1308

14.1685

8817

71

72

19.4037

8834

17.7968 1864

16.4155

7838

14.1762

5063

72

73

19.4321

7937

17.8168 8970

16.4297

9093

14.1834

1180

73

74

19.4592

1845

1^.8359 1441

16.4431

9899

14.1901

0449

74

75

19.4849

6995

17.8539 4731

16.4558

4810

14.1963

5933

75

76

19.5094

9519

17.8710 4010

16.4677

8123

14.2022

0498

76

77

19.5328

5257

17.8872 4180

16.4790

3889

14.2076

6821

77

78

19.5550

9768

17.9025 9887

16.4896

5933

14.2127

7403

78

79

19.5762

8351

17.9171 5532

16.4996

7862

14.2175

4582

79

80

19.5964

6048

17.9309 5291

16.5091

3077

14.2220

0544

80

81

19.6156

7665

17.9440 3120

16.5180

4790

14.2261

7331

81

82

19.6339

7776

17.9564 2768

16.5264

6028

14.2300

6851

82

83

19.6514

0739

17.9681 7789

16.5343

9649

14.2337

0889

83

84

19.6680

0704

17.9793 1554

16.5418

8348

14.2371

nil

84

85

19.6838

1623

17.9898 7255

16.5489

4668

14.2402

9076

85

86

19.6988

7260

17.9998 7919

16.5556

1008

14.2432

6239

86

87

19.7132

1200

18.0093 6416

16.5618

9630

14.2460

3962

87

88

19.7268

6857

18.0183 5466

16.5678

2670

14.2486

3516

88

89

19.7398

7483

18.0268 7645

16.5734

2141

14.2510

6089

89

90

19.7522

6174

18.0349 5398

16.5786

9944

14.2533

2794

90

91

19.7640

5880

18.0426 1041

16.5836

7872

14.2554

4667

91

92

19.7752

9410

18.0498 6769

16.5883

7615

14.2574

2680

92

93

19.7859

9438

18.0567 4662

16.5928

0769

14.2592

7738

93

94

19.7961

8512

18.0632 6694

16.5969

8839

14.2610

0690

94

95

19.8058

9059

18.0694 4734

16.6009

3244

14.2626

2327

95

96

19.8151

3390

18.0753 0553

16.6046

5325

14.2641

3390

96

97

19.8239

3705

18.0808 5833

16.6081

6344

14.2655

4570

97

98

19.8323

2100

18.0861 2164

16.61 14

7494

14.2668

6514

98

99

19.8403

0571

18.0911 1055

16.6145

9900

14.2680

9826

99

100

19.8479

1020

18.0958 3939

16.6175

4623

14.2692

5071

100

39

Annuity Whose Present Value at Compound Interest Is I
TABLE V. a^ = i (l-v")

n

1%

ik%

t

1%%

n

1

1.0100 0000

1.0125 0000

1.0150

0000

1.0175

0000

1

2

0.5075 1244

0.5093 9441

0.51 12

7792

0.5131

6295

2

3

0.3400 221 1

0.3417 0117

0.3433

8296

0.3450

6746

3

4

0.2562 8109

0.2578 6102

0.2594

4478

0.2610

3237

4

5

0.2060 3980

0.2075 6211

0.2090

8932

0.2106

2142

5

6

0.1725 4837

0.1740 3381

0.1755

2521

0.1770

2256

6

7

0.1486 2828

0.1500 8872

0.1515

5616

0.1530

3059

7

8

0.1306 9029

0.1321 3314

0.1335

8402

0.1350

4292

8

9

0.1167 4036

0.1 181 7055

0.1 196

0982

0.1210

5813

9

10

0.1055 8208

0.1070 0307

0.1084

3418

0.1098

7534

10

11

0.0964 5408

0.0978 6839

0.0992

9384

0.1007

3038

11

12

0.0888 4879

0.0902 5831

0.0916

7999

0.0931

1377

12

13

0.0824 1482

0.0838 2100

0.0852

4036

0.0866

7283

13

14 '

0.0769 0117

0.0783 0515

0.0797

2332

0.0811

5562

14

15

0.0721 2378

0.0735 2646

0.0749

4436

0.0763

7739

15

16

0.0679 4460

0.0693 4672

0.0707

6508

0.0721

9958

16

17

0.0642 5806

0.0656 6023

0.0670

7966

0.0685

1623

17

18

0.0609 8205

0.0623 8479

0.0638

0578

0.0652

4492

18

19

0.0580 5175

0.0594 5548

0.0608

7847

0.0623

2061

19

20

0.0554 1531

0.0568 2039

0.0582

4574

0.0596

9122

20

21

0.0530 3075

0.0544 3748

0.0558

6550

0.0573

1464

21

22

0.0508 6372

0.0522 7238

0.0537

0331

0.0551

5638

22

23

0.0488 8584

0.0502 9666

0.0517

3075

0.0531

8796

23

24

0.0470 7347

0.0484 8665

0.0499

2410

0.0513

8565

24

25

0.0454 0675

0.0468 2247

0.0482

6345

0.0497

2952

25

26

0.0438 6888

0.0452 8729

0.0467

3196

0.0482

0269

26

27

0.0424 4553

0.0438 6677

0.0453

1527

0.0467

9079

27

28

0.0411 2444

0.0425 4863

0.0440

0108

0.0454

8151

28

29

0.0398 9502

0.0413 2228

0.0427

7878

0.0442

6424

29

30

0.0387 4811

0.0401 7854

0.0416

3919

0.0431

2975

30

31

0.0376 7573

0.0391 0942

0.0405

7430

0.0420

7005

31

32

0.0366 7089

0.0381 0791

0.0395

7710

0.0410

7812

32

33

0.0357 2744

0.0371 6786

0.0386

4144

0.0401

4779

33

34

0.0348 3997

0.0362 8387

0.0377

6189

0.0392

7363

34

35

0.0340 0368

0.0354 5111

0.0369

3363

0.0384

5082

35

36

0.0332 1431

0.0346 6533

0.0361

5240

0.0376

7507

36

37

0.0324 6805

0.0339 2270

0.0354

1437

0.0369

4257

37

38

0.0317 6150

0.0332 1983

0.0347

1613

0.0362

4990

38

39

0.0310 9160

0.0325 5365

0.0340

5463

0.0355

9399

39

40

0.0304 5560

0.0319 2141

0.0334

2710

0.0349

7209

40

41

0.0298 5102

0.0313 2063

0.0328

3106

0.0343

8170

41

42

0.0292 7563

0.0307 4906

0.0322

6426

0.0338

2057

42

43

0.0287 2737

0.0302 0466

0.0317

2465

0.0332

8666

43

44

0.0282 0441

0.0296 8557

0.0312

1038

0.0327

7810

44

45

0.0277 0505

0.0291 9012

0.0307

1976

0.0322

9321

45

46

0.0272 2775

0.0287 1675

0.0302

5125

0.0318

3043

46

47

0.0267 7111

0.0282 6406

0.0298

0342

0.0313

8836

47

48

0.0263 3384

0.0278 3075

0.0293

7500

0.0309

6569

48

49

0.0259 1474

0.0274 1563

0.0289

6478

0.0305

6124

49

50

0.0255 1273

0.0270 1763

1 0.0285

7168

0.0301

7391

50

40

Annuity Whose Present Value at Compound Interest Is 1

TABLE V. a^ = i/(l-v")

n

1 <^

1 i^c;

i-i /C

1 Vf"

^^ , c

1%',

'

It

51

0.0251

2680

0.0266 3571

0.0281 9469

0.0298

0269

51

52

0.0247

5603

0.0262 6897

0.0278 3287

0.0294

4665

52

53

0.0243

9956

0.0259 1653

0.0274 8537

0.0291

0492

53

54

0.0240

5658

0.0255 7760

0.0271 5138

0.0287

7672

54

55

0.0237

2637

0.0252 5145

0.0268 3018

0.0284

6129

55

56

0.0234

0824

0.0249 3739

0.0265 2106

0.0281

5795

56

57

0.0231

0156

0.0246 3478

0.0262 2341

0.0278

6606

57

58

0.0228

0573

0.0243 4303

0.0259 3661

0.0275

8503

58

59

0.0225

2020

0.0240 6158

0.0256 6012

0.0273

1430

59

60

0.0222

4445

0.0237 8993

0.0253 9343

0.0270

5336

60

61

0.0219

7800

0.0235 2758

0.0251 3604

0.0268

0172

61

62

0.0217

2041

0.0232 7410

0.0248 8751

0.0265

5892

62

63

0.0214

7125

0.0230 2904

0.0246 4741

0.0263

2455

63

64

0.0212

3013

0.0227 9203

0.0244 1534

0.0260

9821

64

65

0.0209

9667

0.0225 6268

0.0241 9094

0.0258

7952

65

66

0.0207

7052

0.0223 4065

0.0239 7386

0.0256

6813

66

67

0.0205

5136

0.0221 2560

0.0237 6376

0.0254

6372

67

68

0.0203

3889

0.0219 1724

0.0235 6033

0.0252

6596

68

69

0.0201

3280

0.0217 1527

0.0233 6329

0.0250

7459

69

70

0.0199

3282

0.0215 1941

0.0231 7235

0.0248

8930

70

71

0.0197

3870

0.0213 2941

0.0229 8727

0.0247

0985

71

72

0.0195

5019

0.0211 4501

0.0228 0779

0.0245

3600

72

73

0.0193

6706

0.0209 6600

0.0226 3368

0.0243

6750

73

74

0.0191

8910

0.0207 9215

0.0224 6473

0.0242

0413

74

75

0.0190

1609

0.0206 2325

0.0223 0072

0.0240

4570

75

76

0.0188

4784

0.0204 5910

0.0221 4146

0.0238

9200

76

77

0.0186

8416

0.0202 9953

0.0219 8676

0.0237

4284

77

78

0.0185

2488

0.0201 4435

0.0218 3645

0.0235

9806

78

79

0.0183

6983

0.0199 9341

0.0216 9036

0.0234

5748

79

80

0.0182

1885

0.0198 4652

0.0215 4832

0.0233

2093

80

81

0.0180

7179

0.0197 0356

0.0214 1019

0.0231

8828

81

82

0.0179

2851

0.0195 6437

0.0212 7583

0.0230

5936

82

83

0.0177

8887

0.0194 2881

0.0211 4509

0.0229

3406

83

84

0.0176

5273

0.0192 9675

0.0210 1784

0.0228

1223

84

85

0.0175

1998

0.0191 6808

0.0208 9396

0.0226

9375

85

86

0.0173

9050

0.0190 4267

0.0207 7333

0.0225

7850

86

87

0.0172

6417

0.0189 2041

0.0206 5584

0.0224

6636

87

88

0.0171

4089

0.0188 0119.

0.0205 4138

0.0223

5724

88

89

0.0170

2056

0.0186 8490

0.0204 2984

0.0222

5102

89

90

0.0169

0306

0.0185 7146

0.0203 2113

0.0221

4760

90

91

0.0167

8832

0.0184 6076

0.0202 1516

0.0220

4690

91

92

0.0166

7624

0.0183 5271

0.0201 1182

0.0219

4882

92

93

0.0165

6673

0.0182 4724

0.0200 1 104

0.0218

5327

93

94

0.0164

5971

0.0181 4425

0.0199 1273

0.0217

6017

94

95

0.0163

5511

0.0180 4366

0.0198 1681

0.0216

6944

95

96

0.0162

5284

0.0179 4540

0.0197 2321

0.0215

8101

96

97

0.0161

5284

0.0178 4941

0.0196 3186

0.0214

9480

97

98

0.0160

5503

0.0177 5560

0.0195 4268

0.0214

1074

98

99

0.0159

5936

0.0176 6391

0.0194 5560

0.0213

2876

99

100

0.0158

6574

0.0175 7428

0.0193 7057

0.0212

4880

100

11

Annuity Whose Present Value at Compound Interest Is 1
TABLE V. ' «^' = ' (l-O

n

2%

2h%

2%%

n

1

1.0200

0000

1.0225

0000

1.0250 0000

1.0275

0000

1

2

0.5150

4950

0.5169

3758

0.5188 2716

0.5207

1825

2

3

0.3467

5467,

0.3484

4458

0.3501 3717

0.3518

3243

3

4

0.2626

2375

0.2642

1893

0.2658 1788

0.2674

2059

4

5

0.2121

5839

0.2137

0022

0.2152 4686

0.2167

9832

5

6

0.1785

2581

0.1800

3496

0.1815 4997

0.1830

7083

6

7

0.1545

1196

0.1 560

0025

0.1574 9543

0.1589

9747

7

8

0.1365

0980

0.1379

8462

0.1394 6735

0.1409

5795

8

9

0.1225

1544

0.1239

8170

0.1254 5689

0.1269

4095

9

10

0.1113

2653

0.1127

8768

0.1142 5876

0.1 157

3972

10

11

0.1021

7794

0.1036

3649

0.1051 0596

0.1065

8629

11

12

0.0945

5960

0.0960

1740

0.0974 8713

0.0989

6871

12

13

0.0881

1835

0.0895

7686

0.0910 4827

0.0925

3252

13

14

0.0826

0197

0.0840

6230

0.0855 3653

0.0870

2457

14

15

0.0778

2547

0.0792

8852

0.0807 6646

0.0822

5917

15

16

0.0736

5013

0.0751

1663

0.0765 9899

0.0780

9710

16

17

0.0699

6984

0.0714

4039

0.0729 2777

0.0744

3186

17

18

0.0667

0210

0.0681

7720

0.0696 7008

0.071 1

8063

18

19

0.0637

8177

0.0652

6182

0.0667 6062

0.0682

7802

19

20

0.0611

5672

0.0626

4207

0.0641 4713

0.0656

7173

20

21

0.0587

8477

0.0602

7572

0.0617 8733

0.0633

1941

21

22

0.0566

3140

0.0581

2821

0.0596 4661

0.061 1

8640

22

23

0.0546

6810

0.0561

7097

0.0576 9638

0.0592

4410

23

24

0.0528

7110

0.0543

8023

0.0559 1282

0.0574

6863

24

25

0.0512

2044

0.0527

3599

0.0542 7592

0.0558

3997

25

26

0.0496

9923

0.0512

2134

0.0527 6875

0.0543

41 16

26

27

0.0482

9309

0.0498

2188

0.0513 7687

0.0529

5776

27

28

0.0469

8967

0.0485

2525

0.0500 8793

0.0516

7738

28

29

0.0457

7836

0.0473

2081

0.0488 9127

0.0504

8935

29

30

0.0446

4992

0.0461

9934

0.0477 7764

0.0493

8442

30

31

0.0435

9635

0.0451

5280

0.0467 3900

0.0483

5453

31

32

0.0426

1061

0.0441

7415

0.0457 6831

0.0473

9263

32

33

0.0416

8653

0.0432

5722

0.0448 5938

0.0464

9253

33

34

0.0408

1867

0.0423

9655

0.0440 0675

0.0456

4875

34

35

0.0400

0221

0.0415

8731

0.0432 0558

0.0448

5645

35

36

0.0392

3285

0.0408

2522

0.0424 5158

0.0441

1132

36

37

0.0385

0678

0.0401

0643

0.0417 4090

0.0434

0953

37

38

0.0378

2057

0.0394

2753

0.0410 7012

0.0427

4764

38

39

0.0371

71 14

0.0387

8543

0.0404 3615

0.0421

2256

39

40

0.0365

5575

0.0381

7738

0.0398 3623

0.0415

3151

40

41

0.0359

7188

0.0376

0087

0.0392 6786

0.0409

7200

41

42

0.0354

1729

0.0370

5364

0.0387 2876

0.0404

4175

42

43

0.0348

8993

0.0365

3364

0.0382 1688

0.0399

3871

43

44

0.0343

8794

0.0360

3901

0.0377 3037

0.0394

6100

44

45

0.0339

0962

0.0355

6805

0.0372 6752

0.0390

0693

45

46

0.0334

5342

0.0351

1921

0.0368 2676

0.0385

7493

46

47

0.0330

1792

0.0346

9107

0.0364 0669

0.0381

6358

47

48

0.0326

0184

0.0342

8233

0.0360 0599

0.0377

7158

48

49

0.0322

0396

0.0338

9179

0.0356 2348

0.0373

9773

49

50

0.0318

2321

0.0335

1836

0.0352 5806

0.0370

4092

50

42

Annuity Whose Present Value at Compound Interest Is 1
TABLE V. a^i = r(l-0

n

2%

91 r'

91 r-
^ 2 ' 0

93,-r-

n

51

0.0314 5856

0.0331 6102

0.0349 0870

0.0367 0014

51

52

0.0311 0909

0.0328 1884

0.0345 7446

0.0363 7444

52

53

0.0307 7392

0.0324 9094

0.0342 5449

0.0360 6297

53

54

0.0304 5226

0.0321 7654

0.0339 4799

0.0357 6491

54

55

0.0301 4337

0.0318 7489

0.0336 5419

0.0354 7953

55

56

0.0298 4656

0.0315 8530

0.0333 7243

0.0352 0612

56

57

0.0295 6120

0.0313 0712

0.0331 0204

0.0349 4404 ]

57

58

0.0292 8667

0.0310 3977

0.0328 4244

0.0346 9270

58

59

0.0290 2243

0.0307 8268

0.0325 9307

0.0344 5153

59

60

0.0287 6797

0.0305 3533

0.0323 5340

0.0342 2002

60

61

0.0285 2278

0.0302 9724

0.0321 2294

0.0339 9767

61

62

0.0282 8643

0.0300 6795

0.0319 0126

0.0337 8402

62

63

0.0280 5848

0.0298 4704

0.0316 8790

0.0335 7866

63

64

0.0278 3855

0.0296 3411

0.0314 8249

0.0333 8118

64

65

0.0276 2624

0.0294 2878

0.0312 8463

0.0331 9120

65

66

0.0274 2122

0.0292 3070

0.0310 9398

0.0330 0837

66

67

0.0272 2316

0.0290 3955

0.0309 1021

0.0328 3236

67

68

0.0270 3173

0.0288 5500

0.0307 3300

0.0326 6285

68

69

0.0268 4665

0.0286 7677

0.0305 6206

0.0324 9955

69

70

0.0266 6765

0.0285 0458

0.0303 9712

0.0323 4218

70

71

0.0264 9446

0.0283 3816

0.0302 3790

0.0321 9048

71

72

0.0263 2683

0.0281 7728

0.0300 8417

0.0320 4420

72

73

0.0261 6454

0.0280 2169

0.0299 3568

0.0319 0311

73

74

0.0260 0736

0.0278 71 18

0.0297 9222

0.0317 6698

74

75

0.0258 5508

0.0277 2554

0.0296 5358

0.0316 3560

75

76

0.0257 0751

0.0275 8457

0.0295 1956

0.0315 0878

76

77

0.0255 6447

0.0274 4808

0.0293 8997

0.0313 8633

77

78

0.0254 2576

0.0273 1589

0.0292 6463

0.0312 6806

78

79

0.0252 9123

0.0271 8784

0.0291 4338

0.0311 5382

79

80

0.0251 6071

0.0270 6376

0.0290 2605

0.0310 4342

80

81

0.0250 3405

0.0269 4350

0.0289 1248

0.0309 3674

81

82

0.0249 1110

0.0268 2692

0.0288 0254

0.0308 3361

82

83

0.0247 9173

0.0267 1387

0.0286 9608

0.0307 3389

83

84

0.0246 7581

0.0266 0423

0.0285 9298

0.0306 3747

84

85

0.0245 6321

0.0264 9787

0.0284 9310

0.0305 4420

85

86

0.0244 5381

0.0263 9467

0.0283 9633

0.0304 5397

86

87

0.0243 4750

0.0262 9452

0.0283 0255

0.0303 6667

87

88

0.0242 4416

0.0261 9730

0.0282 1 165

0.0302 8219

88

89

0.0241 4370

0.0261 0291

0.0281 2353

0.0302 0041

89

90

0.0240 4602

0.0260 1126

0.0280 3809

0.0301 2125

90

91

0.0239 5101

0.0259 2224

0.0279 5523

0.0300 4460

91

92

0.0238 5859

0.0258 3577

0.0278 7486

0.0299 7038

92

93

0.0237 6868

0.0257 5176

0.0277 9690

0.0298 9850

93

94

0.0236 8118

0.0256 7012

0.0277 2126

0.0298 2887

94

95

0.0235 9602

0.0255 9078

0.0276 4786

0.0297 6141

95

96

0.0235 1313

0.0255 1366

0.0275 7662

0.0296 9605

96

97

0.0234 3242

0.0254 3868

0.0275 0747

0.0296 3272

97

98

0.0233 5383

0.0253 6578

0.0274 4034

0.0295 7134

98

99

0.0232 7729

0.0252 9489

0.0273 7517

0.0295 1185

99

100

0.0232 0274

0.0252 2594

0.0273 1188

0.0294 5418

100

43

Annuity Whose Present Value at Compound Interest Is 1
TABLE v. ^ a^ = i/(l-vn

n

3^

c

3^%

4%

4J^%

n

1

1.0300

0000

1.0350

0000

1.0400

0000

1.0450

0000

1

2

0.5226

1084

0.5264

0049

0.5301

9608

0.5339

9756

2

3

0.3535

3036

0.3569

3418

0.3603

4854

0.3637

7336

3

4

0.2690

2705

0.2722

5114

0.2754

9005

0.2787

4365

4

5

0.2183

5457

0.2214

8137

0.2246

2711

0.2277

9164

5

6

0.1845

9750

0.1876

6821

0.1907

6190

0.1938

7839

6

7

0.1605

0635

0.1635

4449

0.1666

0961

0.1697

0147

7

8

0.1424

5639

0.1454

7665

0.1485

2783

0.1516

0965

8

9

0.1284

3386

0.1314

4601

0.1344

9299

0.1375

7447

9

10

0.1172

3051

0.1202

4137

0.1232

9094

0.1263

7882

10

11

0.1080

7745

0.1110

9197

0.1141

4904

0.1172

4818

11

12

0.1004

6209

0.1034

8395

0.1065

5217

0.1096

6619

12

13

0.0940

2954

0.0970

6157

0.1001

4373

0.1032

7535

13

14

0.0885

2634

0.0915

7073

0.0946

6897

0.0978

2032

14

15

0.0837

6658

0.0868

2507

0.0899

4110

0.0931

1381

15

16

0.0796

1085

0.0826

8483

0.0858

2000

0.0890

1537

16

17

0.0759

5253

0.0790

4313

0.0821

9852

0.0854

.1758

17

18

0.0727

0870

0.0758

1684

0.0789

9333

0.0822

3690

18

19

0.0698

1388

0.0729

4033

0.0761

3862

0.0794

0734

19

20

0.0672

1571

0.0703

6108

0.0735

8175

0.0768

7614

20

21

0.0648

7178

0.0680

3659

0.0712

8011

0.0746

0057

21

22

0.0627

4739

0.0659

3207

0.0691

9881

0.0725

4565

22

23

0.0608

1390

0.0640

1880

0.0673

0906

0.0706

8249

23

24

0.0590

4742

0.0622

7283

0.0655

8683

0.0689

8703

24

25

0.0574

2787

0.0606

7404

0.0640

1196

0.0674

3903

25

26

0.0559

3829

0.0592

0540

0.0625

6738

0.0660

2137

26

27

0.0545

6421

0.0578

5241

0.0612

3854

0.0647

1946

27

28

0.0532

9323

0.0566

0265

0.0600

1298

0.0635

2081

28

29

0.0521

1467

0.0554

4538

0.0588

7993

0.0624

1461

29

30

0.0510

1926

0.0543

7133

0.0578

3010

0.0613

9154

30

31

0.0499

9893

0.0533

7240

0.0568

5535

0.0604

4345

31

32

0.0490

4662

0.0524

4150

0.0559

4859

0.0595

6320

32

33

0.0481

5612

0.0515

7242

0.0551

0357

0.0587

4453

33

34

0.0473

2196

0.0507

5966

0.0543

1477

0.0579

8191

34

35

0.0465

3929

0.0499

9835

0.0535

7732

0.0572

7045

35

36

0.0458

0379

0.0492

8416

0.0528

8688

0.0566

0578

36

37

0.0451

1 162

0.0486

1325

0.0522

3957

0.0559

8402

37

38

0.0444

5934

0.0479

8214

0.0516

3192

0.0554

0169

38

39

0.0438

4385

0.0473

8775

0.0510

6083

0.0548

5567

39

40

0.0432

6238

0.0468

2728

0.0505

2349

0.0543

4315

40

41

0.0427

1241

0.0462

9822

0.0500

1738

0.0538

6158

41

42

0.0421

9167

0.0457

9828

0.0495

4020

0.0534

0868

42

43

0.0416

981 1

0.0453

2539

0.0490

8989

0.0529

8235

43

44

0.0412

2985

0.0448

7768

0.0486

6454

0.0525

8071

44

45

0.0407

8518

0.0444

5343

0.0482

6246

0.0522

0202

45

46

0.0403

6254

0.0440

5108

0.0478

8205

0.0518

4471

46

47

0.0399

6051

0.0436

6919

0.0475

2189

0.0515

0734

47

48

0.0395

7777

0.0433

0646

0.0471

8065

0.051 1

8858

48

49

0.0392

1314

0.0429

6167

0.0468

5712

0.0508

8722

49

50

0.0388

6550

0.0462

3371

0.0465

5020

0.0506

0215

50

44

Annuity Whose Present Value at Compound Interest Is 1
TABLE V. aii = i (l-r")

n

3%

sh%

4%

^H%

n

51

0.0385 3382

0.0423 2156

0.0462 5885

0.0503 3232

51

52

0.0382 1718 :

0.0420 2429

0.0459 8212

0.0500 7679

52

53

0.0379 1471

0.0417 4100

0.0457 1915

0.0498 3469

53

54

0.0376 2558

0.0414 7090

0.0454 6910

0.0496 0519

54

55

0.0373 4907

0.0412 1323

0.0452 3124

0.0493 8754

55

56

0.0370 8447

0.0409 6730

0.0450 0487

0.0491 8105

56

57

0.0368 3114

0.0407 3245

0.0447 8932

0.0489 8506

57

58

0.0365 8848

0.0405 0810

0.0445 8401

0.0487 9897

58

59

0.0363 5593

0.0402 9366

0.0443 8836

0.0486 2221 i

59

60

0.0361 3296

0.0400 8862

1

0.0442 0185

0.0484 5426

60

61

0.0359 1908

0.0398 9249

0.0440 2398

0.0482 9462

61

62

0.0357 1385

0.0397 0480

0.0438 5430

0.0481 4284

62

63

0.0355 1682

0.0395 2513

0.0436 9237

0.0479 9848

63

64

0.0353 2760

0.0393 5308

0.0435 3780

0.0478 6115

64

65

0.0351 4581

0.0391 8826

0.0433 9019

0.0477 3047

65

66

0.0349 7110

0.0390 3031

0.0432 4921

0.0476 0608

66

67

0.0348 0313

0.0388 7892

0.0431 1451

0.0474 8765

67

68

0.0346 4159

0.0387 3375

0.0429 8578

0.0473 7487

68

69

0.0344 8618

0.0385 9453

0.0428 6272

0.0472 6745

69

70

0.0343 3663

0.0384 6095

0.0427 4506

0.0471 6511

70

71

0.0341 9266

0.0383 3277

0.0426 3253

0.0470 6759

71

72

0.0340 5404

0.0382 0973

0.0425 2489

0.0469 7465

72

73

0.0339 2053

0.0380 9160

0.0424 2190

0.0468 8606

73

74

0.0337 9191

0.0379 7816

0.0423 2334

0.0468 0159

74

75

0.0336 6796

0.0378 6919

0.0422 2900

0.0467 2104

75

76

0.0335 4849

0.0377 6450

0.0421 3869

0.0466 4422

76

77

0.0334 3331

0.0376 6390

0.0420 5221

0.0465 7094

77

78

0.0333 2224

0.0375 6721

0.0419 6939

0.0465 0104

78

79

0.0332 1510

0.0374 7426

0.0418 9007

0.0464 3434

79

80

0.0331 1175

0.0373 8489

0.0418 1408

0.0463 7069

80

81

0.0330 1201

0.0372 9894

0.0417 4127

0.0463 0995

81

82

0.0329 1576

0.0372 1628

0.0416 7150

0.0462 5197

82

83

0.0328 2284

0.0371 3676

0.0416 0463

0.0461 9663

83

84

0.0327 3313

0.0370 6025

0.0415 4054

0.0461 4379

84

85

0.0326 4650

0.0369 8662

0.0414 7909

0.0460 9334

85

86

0.0325 6284

0.0369 1576

0.0414 2018

0.0460 4516

86

87

0.0324 8202

0.0368 4756

0.0413 6370

0.0459 9915

87

88

0.0324 0393

0.0367 8190

0.0413 0953

0.0459 5522

88

89

0.0323 2848

0.0367 1868

0.0412 5758

0.0459 1325

89

90

0.0322 5556

0.0366 5781

0.0412 0775

0.0458 7316

90

91

0.0321 8508

0.0365 9919

0.0411 5995

0.0458 3486

91

92

0.0321 1694

0.0365 4273

0.0411 1410

0.0457 9827

92

93

0.0320 5107

0.0364 8834

0.0410 7010

0.0457 6331

93

94

0.0319 8737

0.0364 3594

0.0410 2789

0.0457 2991

94

95

0.0319 2577

0.0363 8546

0.0409 8738

0.0456 9799

95

96

0.0318 6619

0.0363 3682

0.0409 4850

0.0456 6749

96

97

0.0318 0856

0.0362 8995

0.0409 1119

0.0456 3834

97

98

0.0317 5281

0.0362 4478

0.0408 7538

0.0456 1048

98

99

0.0316 9886

0.0362 0124

0.0408 4100

0.0455 8385

99

100

0.0316 4667

0.0361 5927

0.0408 0800

0.0455 5839

100

45

Annuity Whose Present Value at Compound Interest Is 1

TABLE V. ^ a^ = i/il-vn

n

5'

c

6'.c-

7 So

n

1

1.0500

0000

1.0550

0000

1.0600

0000

1.0700

0000

1

2

0.5378

0488

0.5416

1800

0.5454

3689

0.5530

9179

2

3

0.3672

0856

0.3706

5407

0.3741

0981

0.3810

5166

3

4

0.2820

1183

0.2852

9449

0.2885

9149

0.2952

2812

4

5

0.2309

7480

0.2341

7644

0.2373

9640

0.2438

9069

5

6

0.1970

1747

0.2001

7895

0.2033

6263

0.2097

9580

6

7

0.1728

1982

0.1759

6442

0.1791

3502

0.1855

5322

7

8

0.1547

2181

0.1578

6401

0.1610

3594

0.1674

6776

8

9

0.1406

9008

0.1438

3946

0.1470

2224

0.1534

8647

9

10

0.1295

0458

0.1326

6777

0.1358

6796

0.1423

7750

10

11

0.1203

8889

0.1235

7065

0.1267

9294

0.1333

5690

11

12

0.1128

2541

0.1160

2923

0.1192

7703

0.1259

0199

12

13

0.1064

5577

0.1096

8426

0.1129

6011

0.1 196

5085

13

14

0.1010

2397

0.1042

7912

0.1075

8491

0.1143

4494

14

15

0.0963

4229

0.0996

2560

0.1029

6276

0.1097

9462

15

16

0.0922

6991

0.0955

8254

0.0989

5214

0.1058

5765

16

17

0.0886

9914

0.0920

4198

0.0954

4480

0.1024

2519

17

18

0.0855

4622

0.0889

1992

0.0923

5654

0.0994

1260

18

19

0.0827

4501

0.0861

5005

0.0896

2086

0.0967

5301

19

20

0.0802

4259

0.0836

7933

0.0871

8456

0.0943

9293

20

21

0.0779

9611

0.0814

6478

0.0850

0455

0.0922

8900

21

22

0.0759

7051

0.0794

7123

0.0830

4557

0.0904

0577

22

23

0.0741

3682

0.0776

6965

0.0812

7848

0.0887

1393

23

24

0.0724

7090

0.0760

3580

0.0796

7900

0.0871

8902

24

25

0.0709

5246

0.0745

4935

0.0782

2672

0.0858

1052

25

26

0.0695

6432

0.0731

9307

0.0769

0435

0.0845

6103

26

27

0.0682

9186

0.0719

5228

0.0756

9717

0.0834

2573

27

28

0.0671

2253

0.0708

1440

0.0745

9255

0.0823

9193

28

29

0.0660

4551

0.0697

6857

0.0735

7961

0.0814

4865

29

30

0.0650

5144

0.0688

0539

0.0726

4891

0.0805

8640

30

31

0.0641

3212

0.0679

1665

0.0717

9222

0.0797

9691

31

32

0.0632

8042

0.0670

9519

0.0710

0234

0.0790

7292

32

33

0.0624

9004

0.0663

3469

0.0702

7293

0.0784

0807

33

34

0.0617

5545

0.0656

2958

0.0695

9843

0.0777

9674

34

35

0.0610

7171

0.0649

7493

0.0689

7386

0.0772

3396

35

36

0.0604

3446

0.0643

6635

0.0683

9483

0.0767

1531

36

37

0.0598

3979

0.0637

9993

0.0678

5743

0.0762

3685

37

38

0.0592

8423

0.0632

7217

0.0673

5812

0.0757

9505

38

39

0.0587

6462

0.0627

7991

0.0668

9377

0.0753

8676

39

40

0.0582

7816

0.0623

2034

0.0664

6154

0.0750

0914

40

41

0.0578

2229

0.0618

9090

0.0660

5886

0.0746

5962

41

42

0.0573

9471

0.0614

8927

0.0656

8342

0.0743

3591

42

43

0.0569

9333

0.061 1

1337

0.0653

3312

0.0740

3590

43

44

0.0566

1625

0.0607

6128

0.0650

0606

0.0737

5769

44

45

0.0562

6173

0.0604

3127

0.0647

0050

0.0734

9957

45

46

0.0559

2820

0.0601

2175

0.0644

1485

0.0732

5996

46

47

0.0556

1421

0.0598

3129

0.0641

4768

0.0730

3744

47

48

0.0553

1843

0.0595

5854

0.0638

9766

0.0728

3070

48

49

0.0550

3965

0.0593

0230

0.0636

6356

0.0726

3853

49

50

0.0547

7674

0.0590

6145

0.0634

4429

0.0724

5985

50

10

Annuity Whose Present Value at Compound Interest Is 1

TABLE V.

n

5%

5^%

6%

7%

n

51

0.0545 2867

"1

0.0588 3495

0.0632 3880

0.0722 9365

51

52

0.0542 9450

0.0586 2185

0.0630 4617

0.0721 3901

52

53

0.0540 7334

0.0584 2130

0.0628 6551

0.0719 9509

53

54

0.0538 6438

0.0582 3245

0.0626 9602

0.0718 6110

54

55

0.0536 6686

0.0580 5458

0.0625 3696

0.0717 3633

55

56

0.0534 8010

0.0578 8698

0.0623 8765

0.0716 201 1

56

57

0.0533 0343

0.0577 2900

0.0622 4744

0.0715 1 183

57

58

0.0531 3626

0.0575 8006

0.0621 1574

0.0714 1093

58

59

0.0529 7802

0.0574 3959

0.0619 9200

0.0713 1689

59

60

0.0528 2818

0.0573 0707

0.0618 7572

0.0712 2923

60

61

0.0526 8627

0.0571 8202

0.0617 6642

0.0711 4749

61

62

0.0525 5183

0.0570 6400

0.0616 6366

0.0710 7127

62

63

0.0524 2442

0.0569 5258

0.0615 6704

0.0710 0019

63

64

0.0523 0365

0.0568 4737

0.0614 7615

0.0709 3388

64

65

0.0521 8915

0.0567 4800

0.0613 9066

0.0708 7203

65

66

0.0520 8057

0.0566 5413

0.0613 1022

0.0708 1431

66

67

0.0519 7757

0.0565 6544

0.0612 3454

0.0707 6046

67

68

0.0518 7986

0.0564 8163

0.0611 6330

0.0707 1021

68

69

0.0517 8715

0.0564 0242

0.0610 9625

0.0706 6331

69

70

0.0516 9915

0.0563 2754

0.0610 3313

0.0706 1953

70

71

0.0516 1563

0.0562 5675

0.0609 7370

0.0705 7866

71

72

0.0515 3633

0.0561 8982

0.0609 1774

0.0705 4051

72

73

0.0514 6103

0.0561 2652

0.0608 6505

0.0705 0490

73

74

0.0513 8953

0.0560 6665

0.0608 1542

0.0704 7164

74

75

0.0513 2161

0.0560 1002

0.0607 6867

0.0704 4060

75

76

0.0512 5709

0.0559 5645

0.0607 2463

0.0704 1160

76

77

0.051 1 9580

0.0559 0577

0.0606 8315

0.0703 8453

77

78

0.0511 3756

0.0558 5781

0.0606 4407

0.0703 5924

78

79

0.0510 8222

0.0558 1243

0.0606 0724

0.0703 3563

79

80

0.0510 2962

0.0557 6948

0.0605 7254

0.0703 1357

80

81

0.0509 7963

0.0557 2884

0.0605 3984

0.0702 9297

81

82

0.0509 321 1

0.0556 9036

0.0605 0903

0.0702 7373

82

83

0.0508 8694

0.0556 5395

0.0604 7998

0.0702 5576

83

84

0.0508 4399

0.0556 1947

0.0604 5261

0.0702 3897

84

85

0.0508 0316

0.0555 8683

0.0604 2681

0.0702 2329

85

86

0.0507 6433

0.0555 5593

0.0604 0249

0.0702 0863

86

87

0.0507 2740

0.0555 2667

0.0603 7956

0.0701 9495

87

88

0.0506 9228

0.0554 9896

0.0603 5795

0.0701 8216

88

89

0.0506 5888

0.0554 7273

0.0603 3757

0.0701 7021

. 89

90

0.0506 271 1

0.0554 4788

0.0603 1836

0.0701 5905

90

91

0.0505 9689

0.0554 2435

0.0603 0025

0.0701 4863

91

92

0.0505 6815

0.0554 0207

0.0602 8318

0.0701 3888

92

93

0.0505 4080

0.0553 8096

0.0602 6708

0.0701 2978

83

94

0.0505 1478

0.0553 6097

0.0602 5190

0.0701 2128

94

95

0.0504 9003

0.0553 4204

0.0602 3758

0.0701 1333

95

96

0.0504 6648

0.0553 2410

0.0602 2408

0.0701 0590

96

97

0.0504 4407

0.0553 071 1

0.0602 1 135

0.0700 9897

97

98

0.0504 2274

0.0552 9101

0.0601 9935

0.0700 9248

98

99

0.0504 0245

0.0552 7577

0.0601 8803

0.0700 8643

99

100

0.0503 8314

0.0552 6132

0.0601 7736

0.0700 8076

.100

47

Amount of 1 at Compound Interest for Fractional Periods

TABLE VI. (l+i)i >

p

1%

ih7o

ih%

l%Sc P

2
3
4

6
12
13

26
52

1.0049 8756
1.0033 2228
1.0024 9068

1 .0016 5977
1.0008 2954
1.0007 6570

1.0003 8278
1.0001 9137

1.0062 3059
1.0041 4943
1.0031 1046

1.0020 7257
1.0010 3575
1.0009 5604

1.0004 7790
1.0002 3892

1.0074 7208
1.0049 7521
1.0037 2909

1.0024 8452
1.0012 4149
1.0011 4594

1.0005 7280
1.0002 8636

1.0087 1205
1.0057 9963
1.0043 4658

1.0028 9562
1.0014 4677
1.0013 3540

1.0006 6748
1.0003 3368

2
3
4

6
12
13

26
52

P

2%

2h%

2h7o

2%% P

2
3
4

6
12
13

26
52

1.0099 5050
1.0066 2271
1.0049 6293

1.0033 0589
1.0016 5158
1.0015 2444

1.0007 6193
1.0003 8089

1.0111 8742
1.0074 4444
1.0055 7815

1.0037 1532
1.0018 5594
1.0017 1305

1.0008 5616
1.0004 2799

1.0124 2284
1.0082 6484
1.0061 9225

1.0041 2392
1.0020 5984
1.0019 0124

1.0009 5017
1.0004 7497

1.0136 5675 2
1.0090 8390 3
1.0068 0522 4

1.0045 3168 6
1.0022 6328 12
1.0020 8900 13

1.0010 4396 26
1.0005 2184 52

P

3%

sh%

4%

^h%

P

2
3
4

6
12
13

26
52

1.0148 8916
1.0099 0163
1.0074 1707

1.0049 3862
1.0024 6627
1.0022 7634

1.001 1 3752
1.0005 6860

1.0173 4950
1.01 15 3314
1.0086 3745

1.0057 5004
1.0028 7090
1.0026 4977

1.0013 2401
1.0006 6179

1.0198 0390
1.0131 5941
1.0098 5341

1.0065 5820
1.0032 7374
1.0030 2153

1.0015 0963
1.0007 5453

1.0222 5242
1.0147 8046
1.01 10 6499

1.0073 6312
1.0036 7481
1.0033 9165

1.0016 9439
1.0008 4684

2
3
4

6
12
13

26
52

P

5%

5^%

6%

-!%

P

2

3

4

6
12
13

26
52 .

1.0246 9508
1.0163 9636
1.0122 7224

1.0081 6485
1.0040 7412
1.0037 6014

1.0018 7831
1.0009 3871

1.0271 3193
1.0180 0713
1.0134 7518

1.0089 6340
1.0044 7170
1.0041 2701

1.0020 6138
1.0010 3016

1.0295 6302
1.0196 1282
1.0146 7385

1.0097 5880
1.0048 6755
1.0044 9228

1.0022 4363
1.001 1 2118

1.0344 0804
1.0228 0912
1.0170 5853

1.0113 4026
1.0056 5415
1.0052 1808

1.0026 0564
1.0013 0197

2

3

4

6
12
13

26
52

Logarithm of Amount of 1 at Compountl Interest
for Fraetional Periods

TABLE ML

log {i+ty^p

p

I'o

1 V '

1 1 ( '
A 2 C

1%%

P

2

.002 1607

.002 6975

.003 2330

.003 7672

2

3

.001 4405

.001 7983

.002 1553

.002 5115

3

4

.001 0803

.001 3488

.001 6165

.001 8836

4

6

.000 7202

.000 8992

.001 0777

.001 2557

6

12

.000 3601

.000 4496

.000 5388

.000 6279

12

13

.000 3324

.000 4150

.000 4974

.000 5796

13

26

.000 1662

.000 2075

.000 2487

.000 2898

1

26

52

.000 0831

.000 1038

.000 1243

.000 1449

52

P

2%

2h%

^-^ /o

2%%

j

P

2

.004 3001

.004 8317

.005 3619

.005 8909

2

3

.002 8667

.003 2211

.003 5746

.003 9273

3

4

.002 1500

.002 4158

.002 6810

.002 9455

4

6

.001 4334

.001 6106

.001 7873

.001 9636

6

12

.000 7167

.000 8053

.000 8937

.000 9818

12

13

.000 6616

.000 7433

.000 8249

.000 9063

13

26

.000 3308

.000 3717

.000 4125

.000 4531

26

52

.000 1654

.000 1858

.000 2062

.000 2266

52

P

3%

3^%

4%

^h%

P

2

.006 4186

.007 4702

.008 5167

.009 5581

2

3

.004 2791

.004 9801

.005 6778

.006 3721

3

4

.003 2093

.003 7351

.004 2583

.004 7791

4

6

.002 1395

.002 4901

.002 8389

.003 1860

6

12

.001 0698

.001 2450

.001 4194

.001 5930

12

13

.000 9875

.001 1493

.001 3103

.001 4705

13

26

.000 4937

.000 5746

.000 6551

.000 7352

26

52

.000 2469

.000 2873

.000 3276

.000 3676

52

P

5%

5h%

6%

7%

P

2

.010 5946

.011 6262

.012 6529

.014 6919

2

3

.007 0631

.007 7508

.008 4353

.009 7946 •

3

4

.005 2973

-.005 8131

.006 3265

.007 3459

4

6

.003 5315

.003 8754

.004 2176

.004 8973

6

12

.001 7658

.001 9377

.002 1088

.002 4486

12

13

.001. 6299

.001 7887

.001 9466

.002 2603

13

26

.000 8150

.000 8943

.000 9733

.001 1301

26

.52

.000 4075

.000 4472

.000 4867

.000 5651

52

19

Nominal Rate of Interest y with Frequency of Conversion p
Corresponding to Effective Rate of Interest i

TABLE VIII.

j;„.=p[(l+')''^-l]

p

1%

ih%

ih'c

1 3,r •

P

2
3
4

6
12
13

26
52

CO

.0099 7512
.0099 6685
.0099 6272

.0099 5859
.0099 5446
.0099 5414

.0099 5224
.0099 5128
.0099 5033

.0124 6118
.0124 4828
.0124 4183

.0124 3539
.0124 2895
.0124 2846

.0124 2549
.0124 2400
.0124 2252

.0149 4417
.0149 2562
.0149 1636

.0149 0710
.0148 9785
.0148 9714

.0148 9288
.0148 9074
.0148 8861

.0174 2410
.0173 9890
.0173 8631

.0173 7374
.0173 6119
.0183 6022

.0173 5443 :
.0173 5153
.0173 4864

2
3
4

6
12
13

26
52

CO

p

2%

2h%

2H%

2%%

p

2
3
4

6
12
13

26
52

CO

.0199 0099
.0198 6813
.0198 5173

.0198 3534
.0198 1898
.0198 1772

.0198 1017
.0198 0640
.0198 0263

.0223 7484
.0223 3333
.0223 1261

.0222 9192
.0222 7125
.0222 6966

.0222 6013
.0222 5537
.0222 5061

.0248 4567
.0247 9451
.0247 6899

.0247 4349
.0247 1804
.0247 1608

.0247 0434
.0246 9848
.0246 9261

.0273 1349
.0272 5170
.0272 2087

.0271 9009
.0271 5936
.0271 5699

.0271 4283
.0271 3575
.0271 2867

2
3
4

6
12
13

26
52

CO

p

3%

sh%

4%

^h%

P

2
3
4

6
12
13

26
52

CO

.0297 7831
.0297 0490
.0296 6829

.0296 3173
.0295 9524
.0295 9243

.0295 7561
.0295 6721
.0295 5880

.0346 9899
.0345 9943
.0345 4978

.0345 0024
.0344 5078
.0344 4698

.0344 2420
.0344 1281
.0344 0143

.0396 0781
.0394 7821
.0394 1363

.0393 4918
.0392 8488
.0392 7994

.0392 5031
.0392 3551
.0392 2071

.0445 0483
.0443 4138
.0442 5996

.0441 7874
.0440 9771
.0440 9149

.0440 5417
.0040 3552
.0440 1689

2
3
4

6
12
13

ae

52

CO

p

5%

5h%

6%

7%

p

2
3

4

6
12
13

26
52

CO

.0493 9015
.0491 8907
.0490 8894

.0489 8908
.0488 8949
.0488 8184

.0488 3597
.0488 1306
.0487 9016

.0542 6386
.0540 2139
.0539 0070

.0537 8036
.0536 6039
.0536 5117

.0535 9593
.0535 6834
.0535 4077

.0591 2603
.0588 3847
.0586 9538

.0585 5277

.0584 1061
.0583 9969

.0583 3425
.0583 0157
.0582 6891

.0688 1609
.0684 2737
.0682 3410

.0680 4156
.0678 4974
.0678 3502

.0677 4676
.0677 0268
.0676 5865

2
3
4

6
12

13

26
52

CO

.')(!

Logarithm of Nominal Rate of Interest j with Frequency of
Conversion p Corresponding to Effective Rate of Interest i

TABLE IX. ^^SJ{p)

p

IVc

ihVc

ih%

1%%

P

2

7.998 9183

8.095 5592

8.174 4717

8.241 1504

2

3

7.998 5579

8.095 1092

8.173 9323

8.240 5217

3

4

7.998 3778

8.094 8843

8.173 6627

8.240 2075

4

6

7.998 1977

8.094 6594

8.173 3932

8.239 8934

6

12

7.998 0176

8.094 4345

8.173 1237

8.239 5794

12

13

7.998 0037

8.094 4172

8.173 1029

8.239 5552

13

26

7.997 9206

8.094 3135

8.172 9786

8.239 4103

26

52

7.997 8791

8.094 2616

8.172 9164

8.239 3378

52

cc

7.997 8375

8.094 2097

8.172 8542

8.239 2654

CO

p

2%

2h%

2h%

2%%

p

2

8.298 8746

8.349 7600

8.395 2508

8.436 3772

2

3

8.298 1570

8.348 9535

8.394 3556

8.435 3936

3

4

8.297 7983

8.348 5504

8.393 9082

8.434 9020

4

6

8.297 4397

8.348 1474

8.393 4610

8.434 4107

6

12

8.297 0812

8.347 7446

8.393 0139

8.433 9195

12

13

8:297 0536

8.347 7136

8.392 9796

8.433 8817

13

26

8.296 8882

8.347 5277

8.392 7733

8.433 6550

26

52

8.296 8055

8.347 4348

8.392 6702

8.433 5418

52

oz

8.296 7228

8.347 3419

8.392 5670

8.433 4285

CO

p

3%

sh%

4%'

4^%

p

2

8.473 9000

8.540 3169

8.597 7808

8.648 4071

2

3

8.472 8281

8.539 0689

8.596 3575

8.646 8093

3

4

8.472 2925

8.538 4453

8.595 6464

8.646 0110

4

6

8.471 7570

8.537 8221

8.594 9357

8.645 2133

6

12

8.471 2219

8.537 1991

8.594 2254

8.644 4160

12

13

8.471 1806

8.537 1512

8.594 1708

8.644 3548

13

26

8.470 9337

8.536 8639

8.593 8431

8.643 9870

26

52

8.470 8103

8.536 7201

8.593 6793

8.643 8031

52

CC

8.470 6868

8.536 5765

8.593 5155

8.643 6194

CO

p

5%

oH%

6%

7%

p

2

8.693 6404

8.734 5107

8.771 7787

8.837 6900

2

r^

8.691 8686

8.732 5658

8.769 6614

8.835 2298

3

8.690 9836

8.731 5944

8.768 6040

8.834 0015

4

6

8.690 0993

8.730 6237

8.767 5474

8.832 7743

6

12

8.689 2155

8.729 6538

8.766 4917

8.831 5482

12

13

8.689 1475

8.729 5792

8.766 4105

8.831 4540

13

26

8.688 7398

8.729 1318

8.765 9236

8.830 8885

26

52

8.688 5360

8.728 9082

8.765 6803

8.830 6059

52

.-V-'

8.688 3323

8.728 6846

8.7&5 4369

8.830 3233

>-^^
V-**

51

Amount at End of Year at Compound Interest of p Installments
Each of 1 p Deposited at End of Each pth Part of Year

TABLE X. ^'^ = i'J(p)

p

1%

ih%

ih% 1%%

P

2
3
4

6
12

13

26
52

CO

1.0024 9378
1.0033 2596
1.0037 4223

1.0041 5861

1.0045 7510

1.0046 0714

1.0047 9941

1.0048 9556

1.0049 9171

1.0031 1529
1.0041 5516
1.0046 7537

1.0051 9575
1.0057 1632
1.0057 5637

1.0059 9669

1.0061 1687

1.0062 3706

1
1.0037 3604
1.0049 8346
1.0056 0755

1.0062 3191

1.0068 5652

1.0069 0458

1.0071 9296

1.0073 3717

1.0074 8139

1.0043 5603
1.0058 1084
1.0065 3878

1.0072 6707

1.0079 9571

1.0080 5177

1.0083 8820
1.0085 5644
1.0087 2470

2

3
4

6
12
13

26
52

P

2%

2k7c

2h%

^^ /C

P

2
3
4

6
12
13

26
52

CO

1.0049 7525
1.0066 3733
1.0074 6906

1.0083 0125
1.0091 3389
1.0091 9796

1.0095 8243
1.0097 7470
1.0099 6700

1.0055 9371
1.0074 6292
1.0083 9839

1.0093 3444

1.0102 7107

1.0103 4314

1.0107 7565
1.0109 9195
1.0112 0828

1.0062 1142
1.0082 8761
1.0093 2677

1.0103 6665
1.0114 0725
1.0114 8732

1.0119 6786
1.0122 0819
1.0124 4856

1.0068 2837
1.0091 1141
1.0102 5422

1.0113 9789

1.0125 4243

1.0126 3051

1.0131 5908
1.0134 2343
1.0136 8783

2

3

4

6
12
13

26
52

CO

p

3% 3J,9c

■I'c

4J^ff P

2
3

4

6
12
13

26
52

CO

1.0074 4458
1.0099 3431
1.011 1 8072

1.0124 2816

1.0136 7662

1.0137 7270

1.0143 4929
1.0146 3767
1.0149 2610

1.0086 7475
1.0115 7748
1.0130 3094

1.0144 8578

1.0159 4203

1.0160 5410

1.0167 2674
1.0170 6316
1.0173 9966

1.0099 0195
1.0132 1713
1.0148 7744

1.0165 3957

1.0182 0351

1.0183 3158

1.0191 0023
1.0194 8470
1.0198 6927

1.0111 2621 2
1.0148 5328 3
1.0167 2026 4

1.0185 8953 6
1.0204 6109 12
1.0206 0515 13

1.0214 6980 26
1.0219 0231 52
1.0223 3494 OZ

P

5%

5J^%

6%

7% [ P

2
3
4

6
12
13

26
52

CO

1.0123 4754
1.0164 8597
1.0185 5942

1.0206 3570

1.0227 1479

1.0228 7484

1.0238 3548
1.0243 1602
1.0247 9672

1.0135 6596
1.0181 1522
1.0203 9495

1.0226 7810
1.0249 6465
1.0251 4068

1.0261 9729
1.0267 2586
1.0272 5462

1.0147 8151
1.0197 4104
1.0222 2688

1.0247 1676
1.0272 1070
1.0274 0270

1.0285 5526
1.0291 3186
1.0297 0867

1.0172 0402 2
1.0229 8254 3
1.0258 8002 4

1.0287 8298 6
1.0316 9143 12
1.0319 1538 13

1.0332 5978 26
1.0339 3242 52
1.0346 0535 CO

Logarithm of Amount at End of Year at Compound Interest of p
Installments Each of 1 p Deposited at End of Eachpth Part of Year

TABLE XL

log s

(p)

p

1%

1 J < '

^4. /O

1 VC7

A^ /O

1%%

P

z

.001 0817

.001 3509

.001 6195

.001 8877

2

3

.001 4421

.001 8008

.002 1589

.002 5163

3

4

.001 6222

.002 0258

.002 4285

.002 8305

4

6

.001 8023

.002 2506

.002 6981

.003 1446

6

12

.001 9824

.002 4755

.002 9676

.003 4587

12

13

.001 9963

.002 4928

.002 9883

.003 4828

13

26

.002 0794

.002 5966

.003 1 127

.003 6278

26

52

.002 1209

.002 6484

.003 1749

.003 7002

52

CO

.002 1625

.002 7003

.003 2370

.003 7727

CO

P

2%

2H%

2H%

2%%

p

2

.002 1554

.002 4225

.002 6892

.002 9554

2

3

.002 8730

.003 2291

.003 5844

.003 9391

3

4

.003 2317

.003 6321

.004 0318

.004 4307

4

6

.003 5903

.004 0351

.004 4790

.004 9220

6

12

.003 9488

.004 4379

.004 9261

.005 4132

12

13

.003 9764

.004 4689

.004 9604

.005 4510

13

26

.004 1418

.004 6548

.005 1667

.005 6776

26

52

.004 2245

.004 7477

.005 2698

.005 7909

52

CO

.004 3072

.004 8406

.005 3730

.005 9042

CO

p

3%

sh%

4%

4^%

p

2

.003 2212

.003 7511

.004 2792

.004 8054

2

3

.004 2931

.004 9991

.005 7025

.006 4033

3

4

.004 8288

.005 6227

.006 4136

.007 2015

4

6

.005 3642

.006 2460

.007 1243

.007 9992

6

12

.005 8994

.006 8689

.007 8346

.008 7965

12

13

.005 9406

.006 9168

.007 8892

.008 8578

13

26

.006 1875

.007 2042

.008 2169

.009 2255

26

52

.006 3110

.007 3479

.008 3807

.009 4094

52

CO

.006 4344

.007 4916

.008 5445

.009 5932

CO

P

nor
o /o

5^%

6%

7%

p

2

.005 3296

.005 8520

.006 3725

.007 4081

2

3

.007 1014

.007 7969

.008 4899

.009 8682

3

4

.007 9864

.008 7683

.009 5473

.011 0966

4

6

.008 8708

.009 7390

.010 6038

.012 3238

6

12

.009 7545

.010 7089

.011 6595

.013 5498

12

13

.009 8225

.010 7835

.011 7407

.013 6441

13

26

.010 2302

.011 2309

.012 2276

.014 2095

26

52

.010 4340

.01 1 4545

.012 4710

.014 4922

52

CO

.010 6377

.01 1 6781

.012 7144

.014 7747

CO

53

Logarithm of Amount of 1 at Compound Interest

TABLE XIL

los (1 + i)"

n

1%

ik%

ih%

1%%

n

1

.004 3214

.005 3950

.006 4660

.007 5344

1

2

.008 6427

.010 7901

.012 9321

.015 0688

2

3

.012 9641

.016 1851

.019 3981

.022 6033

3

4

.017 2855

.021 5801

.025 8642

.030 1377

4

5

.021 6069

.026 9752

.032 3302

.037 6721

5

6

.025 9282

.032 3702

.038 7963

.045 2065

6

7

.030 2496

.037 7652

.045 2623

.052 7409

7

8

.034 5710

.043 1603

.051 7283

.060 2753

8

9

.038 8924

.048 5553

.058 1944

.067 8098

9

10

.043 2137

.053 9504

.064 6604

.075 3442

10

11

.047 5350

.059 3454

.071 1265

.082 8786

11

12

.051 8565

.064 7404

.077 5925

.090 4130

12

13

.056 1779

.070 1354

.084 0585

.097 9474

13

14

.060 4992

.075 5304

.090 5246

.105 4819

14

15

.064 8206

.080 9255

.096 9906

.113 0163

15

16

.069 1420

.086 3205

.103 4567

.120 5507

16

17

.073 4634

.091 7155

.109 9227

.128 0851

17

18

.077 7847

.097 1106

.116 3888

.135 6195

18

19

.082 1061

.102 5056

.122 8548

.143 1539

19

20

.086 4275

.107 9006

.129 3208

.150 6884

20

21

.090 7488

.113 2957

.135 7869

.158 2228

21

22

.095 0702

.118 6907

.142 2529

.165 7572

22

23

.099 3916

.124 0857

.148 7190

.173 2916

23

24

.103 7130

.129 4808

.155 1850

.180 8260

24

25

.108 0343

.134 8758

.161 6511

.188 3604

25

26

.112 3557

.140 2708

.168 1171

.195 8949

26

27

.1 16 6771

.145 6659

.174 5831

.203 4293

27

28

.120 9985

.151 0609

.181 0492

.210 9637

28

29

.125 3198

.156 4559

.187 5152

.218 4981

29

30

.129 6412

.161 8510

.193 9813

.226 0325

30

31

.133 9626

.167 2460

.200 4473

.233 5670

31

32

.138 2840

.172 6410

.206 9134

.241.1014

32

33

.142 6053

.178 0361

.213 3794

.248 6358

33

34

.146 9267

.183 4311

.219 8454

.256 1702

34

35

.151 2481

.188 8261

.226 3115

.263 7046

35

36

.155 5695

.194 2211

.232 7775

.271 2390

36

37

.159 8908

.199 6162

.239 2436

.278 7735

37

38

.164 2122

.205 0112

.245 7096

.286 3079

38

39

.168 5336

.210 4062

.252 1756

.293 8423

39

40

.172 8550

.215 8013

.258 6417

.301 3767

40

41

.177 1763

.221 1963

.265 1077

.308 91 1 1

41

42

.181 4977

.226 5913

.271 5738

.316 4456

42

43

.185 8191

.231 9864

.278 0398

.323 9800

43

44

.190 1404

.237 3814

.284 5059

.331 5144

44

45

.194 4618

.242 7764

.290 9719

.339 0488

45

46

.198 7832

.248 1715

.297 4379

.346 5832

46

47

.203 1046

.253 5665

.303 9040

.354 1 176

47

48

.207 4259

.258 9615

.310 3700

.361 6521

48

49

.211 7473

.264 3566

.316 8361

.369 1865

49

50

.216 0687

.269 7516

.323 3021

.376 7209

50

54

Logarithm of Amount of 1 at Compound Interest

TABLE XIL

log (1+i)"

n

1%

ih7c

1 1 ( -

i-2 ,C

1%%

n

51

.220 3901

.275 1466

.329 7682

.384 2553

51

52

.224 71 14

.280 5417

.336 2342

.391 7897

52

53

.229 0328

.285 9367

.342 7002

.399 3241 1

53

54,

.233 3542

.291 3317

.349 1663

.406 8586

54

55

.237 6756

.296 7268

.355 6323

.414 3930

55

56

.241 9969

.302 1218

.362 0984

.421 9274

56

57

.246 3183

.307 5168

.368 5644

.429 4618

57

58

.250 6397

.312 9118

.375 0304

.436 9962 '

58

59

.254 961 1

.318 3069

.381 4965

.444 5307

59

60

.259 2824

.323 7019

.387 9625

.452 0651

60

61

.263 6038

.329 0969

.394 4286

.459 5995

61

62

.267 9252

.334 4920

.400 8946

.467 1339

62

63

.272 2465

.339 8870

.407 3607

.474 6683

63

64

.276 5679

.345 2820

.413 8267

.482 2027

64

65

.280 8893

.350 6771

.420 2927

.489 7372

65

66

.285 2107

.356 0721

.426 7588

.497 2716

66

67

.289 5320

.361 4671

.433 2248

.504 8060

67

68

.293 8534

.366 8622

.439 6909

.512 3404

68

69

.298 1748

.372 2572

.446 1569

.519 8748

69

70

.302 4962

.377 6522

.452 6230

.527 4093

70

71

.306 8175

.383 0473

.459 0890

.534 9437

71

72

.311 1389

.388 4423

.465 5550

.542 4781

72

73

.315 4603

.393 8373

.472 0211

.550 0125

73

74

.319 7817

.399 2324

.478 4871

.557 5469

74

75

.324 1030

.404 6274

.484 9532

.565 0813

75

76

.328 4244

.410 0224

.491 4192

.572 6158

76

77

.332 7458

.415 4175

.497 8852

.580 1502

77

78

.337 0672

.420 8125

.504 3513

.587 6846

78

79

.341 3887

.426 2075

.510 8173

.595 2190

79

80

.345 7099

.431 6026

.517 2834

.602 7534

80

81

.350 0313

.436 9976

.523 7494

.610 2878

81

82

.354 3527

.442 3926

.530 2155

.617 8223

82

83

.358 6740

.447 7876

.536 6815

.625 3567

83

84

.362 9954

.453 1827

.543 1475

.632 8911

84

85

.367 3168

.458 5777

.549 6136

.640 4255

85

86

.371 6381

.463 9727

.556 0796

.647 9599

86

87

.375 9595

.469 3678

.562 5457

.655 4944

87

88

.380 2809

.474 7628

.569 01 17

.663 0288

88

89

.384 6023

.480 1578

.575 4778

.670 5632

89

90

.388 9237

.485 5529

.581 9438

.678 0976

90

91

.393 2450

.490 9479

.588 4098

.685 6320

91

92

.397 5664

.496 3429

.594 8759

.693 1664

92

93

.401 8878

.501 7380

.601 3419

.700 7009

93

94

.406 2091

.507 1330

.607 8080

.708 2353

94

95

.410 5305

.512 5280

.614 2740

.715 7697

95

96

.414 8519

.517 9231

.620 7401

.723 3041

96

97

.419 1733

.523 3181

.627 2061

.730 8385

97

98

.423 4946

.528 7131

.633 6721

.738 3730

98

99

.427 8160

.534 1082

.640 1382

.745 9074

99

100

.432 1374

.539 5032

.646 6042

.753 4418

100

DO

Logarithm of Amount of 1 at Compound Interest
TABLE XII. log (1 + i)"

n

2%

2h%

2%%

n

1

.008 6002

.009 6633

.010 7239

.011 7818

1

2

.017 2003

.019 3266

.021 4477

.023 5637

2

3

.025 8005

.028 9900

.032 1716

.035 3455

3

4

.034 4007

.038 6533

.042 8955

.047 1273

4

5

.043 0009

.048 3166

.053 6193

.058 9092

5

6

.051 6010

.057 9799

.064 3432

.070 6910

6

7

.060 2012

.067 6432

.075 0671

.082 4728

7

8

.068 8014

.077 3065

.085 7909

.094 2546

8

9

.077 4015

.086 9699

.096 5148

.106 0365

9

10

.086 0017

.096 6332

-.107 2387

.117 8183

10

11

.094 6019

.106 2965

.117 9625

.129 6001

11

12

.103 2021

.115 9598

.128 6864

.141 3820

12

13

.111 8022

.125 6231

.139 4103

.153 1638

13

14

.120 4024

.135 2864

.150 1341

.164 9456

14

15

.129 0026

.144 9498

.160 8580

.176 7275

15

16

.137 6027

.154 6131

.171 5818

.188 5093

16

17

.146 2029

.164 2764

.182 3057

.200 2911

17

18

.154 8031

.173 9397

.193 0296

.212 0729

18

19

.163 4033

.183 6030

.203 7534

.223 8548

19

20

.172 0034

.193 2663

.214 4773

.235 6366

20

21

.180 6036

.202 9297

.225 2012

.247 4184

21

22

.189 2038

.212 5930

.235 9250

.259 2003

22

23

.197 8040

.222 2563

.246 6489

.270 9821

23

24

.206 4041

.231 9196

.257 3728

.282 7639

24

25

.215 0043

.241 5829

.268 0966

.294 5458

25

26

.223 6045

.251 2462

.278 8205

.306 3276

26

27

.232 2046

.260 9096

.289 5444

.318 1094

27

28

.240 8048

.270 5729

.300 2682

.329 8913

28

29

.249 4050

.280 2362

.310 9921

.341 6731

29

30

.258 0052

.289 8995

.321 7160

.353 4549

30

31

.266 6053

.299 5628

.332 4398

.365 2367

31

32

.275 2055

.309 2261

.343 1637

.377 0186

32

33

.283 8057

.318 8894

.353 8876

.388 8004

33

34

.292 4058

.328 5528

.364 61 14

.400 5822

34

35

.301 0060

.338 2161

.375 3353

.412 3641

35

36

.309 6062

.347 8794

.386 0592

.424 1459

36

37

.318 2064

.357 5427

.396 7830

.435 9277

37

38

.326 8065

.367 2060

.407 5069

.447 7096

38

39

.335 4067

.376 8694

.418 2308

.459 4914

39

40

.344 0069

.386 5327

.428 9546

.471 2732

40

41

.352 6070

.396 1960

.439 6785

.483 0551

41

42

.361 2072

.405 8593

.450 4023

.494 8369

42

43

.369 8074

.415 5226

.461 1262

.506 6187

43

44

.378 4076

.425 1859

.471 8501

.518 4005

44

45

.387 0077

.434 8493

.482 5739

.530 1824

45

46

.395 6079

.444 5126

.493 2978

.541 9642

46

47

.404 2081

.454 1759

.504 0217

.553 7460

47

48

.412 8082

.463 8392

.514 7455

.565 5279

48

49

.421 4084

.473 5025

.525 4694

.577 3097

49

50

.430 0086

.483 1658

.536 1933

.589 0915

50

56

Logarithm of Amount of 1 at Comi>ound Interest

TABLE XII.

log (1 + i)"

n

2%

Ol, ( -

■^-^ /C

•^<4 /c

n

51

.438 6088

.492 8292

.546 9171

.600 8734

51

52

.447 2089

.502 4925

.557 6410

.612 6552

52

53

.455 8091

.512 1558

.568 3649

.624 4370

53

54

.464 4093

.521 8191

.579 0887

.636 2188

54

55

.473 0094

.531 4824

.589 8126

.648 0007

55

56

.481 6096

.541 1457

.600 5365

.659 7825

56

57

.490 2098

.550 8091

.611 2603

.671 5643

57

58

.498 8100

.560 4724

.621 9842

.683 3462

58

59

.507 4101

.570 1357

.632 7081

.695 1280

59

60

.516 0103

.579 7990

.643 4319

.706 9098

60

61

.524 6105

.589 4623

.654 1558

.718 6917

61

62

.533 2107

.599 1256

.664 8797

.730 4735

62

63

.541 8108

.608 7890

.675 6035

.742 2553

63

64

.550 4110

.618 4523

.686 3274

.754 0372

64

65

.559 01 12

.628 1156

.697 0513

.765 8190

65

66

.567 61 13

.637 7789

.707 7751

.777 6008

66

67

.576 2115

.647 4422

.718 4990

.789 3826

67

68

.584 8117

.657 1055

.729 2228

.801 1645

68

69

.593 41 19

.666 7689

.739 9467

.812 9463

69

70

.602 0120

.676 4322

.750 6706

.824 7281

70

71

.610 6122

.686 0955

.761 3944

.836 5100

71

72

.619 2124

.695 7588

.772 1 183

.848 2918

72

73

.627 8125

.705 4221

.782 8422

.860 0736

73

74

.636 4127

.715 0854

.793 5660

.871 8555

74

75

.645 0129

.724 7488

.804 2899

.883 6373

75

76

.653 6131

.734 4121

.815 0138

.895 4191

76

77

.662 2132

.744 0754

.825 7376

.907 2009

77

78

.670 8134

.753 7387

.836 4615

.918 9828

78

79

.679 4136

.763 4020

.847 1854

.930 7646

79

80

.688 0137

.773 0653

.857 9092

.942 5464

80

81

.696 6139

.782 7287

.868 6331

.954 3283

81

82

.705 2141

.792 3920

.879 3570

.966 1101

82

83

.713 8143

.802 0553

.890 0808

.977 8919

83

84

.722 4144

.811 7186

.900 8047

.989 6738

84

85

.731 0146

.821 3819

.911 5286

1.001 4556

85

86

.739 6148

.831 0452

.922 2524

1.013 2374

86

87

.748 2149

.840 7086

.932 9763

1.025 0193

87

88

.756 8151

.850 3719

.943 7002

1.036 8011

88

89

.765 4153

.860 0352

.954 4240

1.048 5829

89

90

.774 0155

.869 6985

.965 1479

1.060 3647

90

91

.782 6156

.879 3618

.975 8718

1.072 1466

91

92

.791 2158

.889 0251

.986 5956

1.083 9284

92

93

.799 8160

.898 6885

.997 3195

1.095 7102

93

94

.808 4161

.908 3518

1.008 0433

1.107 4921

94

95

.817 0163

.918 0151

1.018 7672

1.1 19 2739

95

96

.825 6165

.927 6784

1.029 491 1

1.131 0557

96

97

.834 2167

.937 3417

1.040 2149

1.142 8376

97

98

.842 8168

.947 0050

1.050 9388

1.154 6194

98

99

.851 4170

.956 6684

1.061 6627

1.166 4012

99

100

.860 0172

.966 3317

1.072 3865

1.178 1831

100

Logarithm of Aniovint of 1 at Compound Interest
TABLE XII. los (1 + i)"

n

3%

sh%

4%

4^%

n

1

.012 8372

.014 9403

.017 0333

.019 1163

1

2

.025 6744

.029 8807

.034 0667

.038 2326

2

3

.038 5117

.044 8210

.051 1000

.057 3489

3

4

.051 3489

.059 7614

.068 1334

.076 4652

4

5

.064 1861

.074 7017

.085 1667

.095 5815

5

6

.077 0233

.089 6421

.102 2000

.114 6977

6

7

.089 8606

.104 5824

.119 2334

.133 8140

7

8

.102 6978

.119 5228

.136 2667

.152 9303

8

9

.115 5350

.134 4631

.153 3001

.172 0466

9

10

.128 3722

.149 4035

.170 3334

.191 1629

10

11

.141 2095

.164 3438

.187 3667

.210 2792

11

12

.154 0467

.179 2842

.204 4001

.229 3955

12

13

.166 8839

.194 2245

.221 4334

.248 5118

13

14

.179 7211

.209 1649

.238 4668

.267 6281

14

15

.192 5584

.224 1052

.255 5001

.286 7444

15

16

.205 3956

.239 0456

.272 5334

.305 8606

16

17

.218 2328

.253 9859

.289 5668

.324 9769

17

18

.231 0700

.268 9263

.306 6001

.344 0932

18

19

.243 9073

.283 8666

.323 6334

.363 2095

19

20

.256 7445

.298 8070

.340 6668

.382 3258

20

21

.269 5817

.313 7473

.357 7001

.401 4421

21

22

.282 4189

.328 6877

.374 7335

.420 5584

22

23

.295 2562

.343 6280

.391 7668

.439 6747

23

24

.308 0934

.358 5684

.408 8001

.458 7910

24

25

.320 9306

.373 5087

.425 8335

.477 9073

25

26

.333 7678

.388 4491

.442 8668

.497 0236

26

27

.346 6051

.403 3894

.459 9002

.516 1398

27

28

.359 4423

.418 3298

.476 9335

.535 2561

28

29

.372 2795

.433 2701

.493 9668

.554 3724

29

30

.385 1167

.448 2105

.511 0002

.573 4887

30

31

.397 9540

.463 1508

.528 0335

.592 6050

31

32

.410 7912

.478 0912

.545 0669

.611 7213

32

33

.423 6284

.493 0315

.562 1002

.630 8376

33

34

.436 4656

.507 9719

.579 1335

.649 9539

34

35

.449 3029

.522 9122

.596 1669

.669 0702

35

36

.462 1401

.537 8526

.613 2002

.688 1865

36

37

.474 9773

.552 7929

.630 2336

.707 3027

37

38

.487 8145

.567 7333

.647 2669

.726 4190

38

39

.500 6518

.582 6736

.664 3002

.745 5353

39

40

.513 4890

.597 6140

.681 3336

.764 6516

40

41

.526 3262

.612 5543

.698 3669

.783 7679

41

42

.539 1634

.627 4947

.715 4003

.802 8842

42

43

.552 0007

.642 4350

.732 4336

.822 0005

43

44

.564 8379

.657 3754

.749 4669

.841 1168

44

45

.577 6751

.672 3157

.766 5003

.860 2331

45

46

.590 5123

.687 2561

.783 5336

.879 3494

46

47

.603 3496

.702 1964

.800 5669

.898 4656

47

48

.616 1868

.717 1368

.817 6003

.917 5819

48

49

.629 0240

.732 0771

.834 6336

.936 6982

49

50

.641 8612

.747 0175

.851 6670*

.955 8145

50

58

Logarithm of Amount of 1 per Annum at Compound Interest
TABLE XII. log (1+i)"

n

3%

4%

■ih%

n

51

.654 6985

.761 9578

.868 7003

.974 9308

51

52

.667 5357

.776 8982

.885 7336

.994 0471

52

53

.680 3729

.791 8385

.902 7670

1.013 1634

53

54

.693 2101

.806 7789

.919 8003

1.032 2797

54

55

.706 0474

.821 7192

.936 8337

1.051 3960

55

56

.718 8846

.836 6596

.953 8670

1.070 5123

56

57

.731 7218

.851 5999

.970 9003

1.089 6286

57

58

.744 5590

.866 5403

.987 9337

1.108 7448

58

59

.757 3963

.881 4806

1.004 9670

1.127 8611

59

60

.770 2335

.896 4210

1.022 0004

1.146 9774

60

61

.783 0707

.911 3613

1.039 0337

1.166 0937

61

62

.795 9079

.926 3017

1.056 0670

1.185 2100

62

63

.808 7452

.941 2420

1.073 1004

1.204 3263

63

64

.821 5824

.956 1824

1.090 1337

1.223 4426

64

65

.834 4196

.971 1227

1.107 1671

1.242 5589

65

66

.847 2568

.986 0631

1.124 2004

1.261 6752

66

67

.860 0941

1.001 0034

1.141 2337

1.280 7915

67

68

.872 9313

1.015 9438

1.158 2671

1.299 9077

68

69

.885 7685

1.030 8841

1.175 3004

1.319 0240

69

70

.898 6057

1.045 8245

1.192 3338

1.338 1403

70

71

.911 4430

1.060 7648

1.209 3671

1.357 2566

71

72

.924 2802

1.075 7052

1.226 4004

1.376 3729

72

73

.937 1 174

1.090 6455

1.243 4338

1.395 4892

73

74

.949 9546

1.105 5859

1.260 4671

1.414 6055

74

75

.962 7919

1.120 5262

1.277 5004

1.433 7218

75

76

.975 6291

1.135 4666

1.294 5338

1.452 8381

76

77

.988 4663

1.150 4069

1.311 5671

1.471 9544

77

78

1.001 3035

1.165 3473

1.328 6005

1.491 0707

78

79

1.014 1408

1.180 2876

1.345 6338

1.510 1869

79

80

1.026 9780

1.195 2280

1.362 6671

1.529 3032

80

81

.039 8152

1.210 1683

1.379 7005

1.548 4195

81

82

1.052 6524

1.225 1087

1.396 7338

1.567 5358

82

83

1.065 4897

1.240 0490

1.413 7672

1.586 6521

83

84

1.078 3269

1.254 9894

1.430 8005

1.605 7684

84

85

1.091 1641

1.269 9297

1.447 8338

1.624 8847

85

86

1.104 0013

1.284 8701

1.464 8672

1.644 0010

86

87

1.116 8385

1.299 8104

1.481 9005

1.663 1173

87

88

1.129 6758

1.314 7508

1.498 9339

1.682 2336

88

89

1.142 5130

1.329 6911

1.515 9672

1.701 3498

89

90

1.155 3502

1.344 6315

1.533 0005

1.720 4661

90

91

1.168 1874

1.359 5718

1.550 0339

1.739 5824

91

92

1.181 0247

1.374 5122

1.567 0672

1.758 6987

92

93

1.193 8619

1.389 4525

1.584 1006

1.777 8150

93

94

1.206 6991

1.404 3929

1.601 1339

1.796 9313

94

95

1.219 5363

1.419 3332

1.618 1672

1.816 0476

95

96

1.232 3736

1.434 2736

1.635 2006

1.835 1639

96

97

1.245 2108

1.449 2139

1.652 2339

1.854 2802

97

98

1.258 0480

1.464 1543

1.669 2673

1.873 3965

98

99

1.270 8852

1.479 0946

1.686 3006

1.892 5127

99

100

1.283 7225

1.494 0350

1.703 3339

1.911 6290

100

59

Logarithm of Amount of 1 at Compound Interest
TABLE XII. log (1 + f)'

n

! 5%

5h%

6%

7%

n

1

.021 1893

.023 2525

.025 3059

1 .029 3838

1

2

.042 3786

.046 5049

.050 6117

.058 7676

2

3

.063 5679

.069 7574

.075 9176

.088 1513

3

4

.084 7572

.093 0098

.101 2235

.117 5351

4

5

.105 9465

.116 2623

.126 5293

.146 9189

5

6

.127 1358

.139 5148

.151 8352

.176 3027

6

7

.148 3251

.162 7672

.177 1411

.205 6864

7

8

.169 5144

.186 0197

.202 4469

.235 0702

8

9

.190 7037

.209 2721

.227 7528

.264 4540

9

10

.211 8930

.232 5246

.253 0587

.293 8378

10

11

.233 0823

.255 7771

.278 3645

.323 2216

11

12

.254 2716

.279 0295

.303 6704

.352 6053

12

13

.275 4609

.302 2820

.328 9762

.381 9891

13

14

.296 6502

.325 5344

.354 2821

.411 3729

14

15

.317 8395

.348 7869

.379 5880

.440 7567

15

16

.339 0288

.372 0394

.404 8938

.470 1404

16

17

.360 2181

.395 2918

.430 1997

.499 5242

17

18

.381 4074

.418 5443

.455 5056

.528 9080

18

19

.402 5967

.441 7967

.480 8114

.558 2918

19

20

.423 7860

.465 0492

.506 1173

.587 6756

20

21

.444 9753

.488 3017

.531 4232

.617 0593

21

22

.466 1646

.511 5541

.556 7290

.646 4431

22

23

.487 3539

.534 8066

.582 0349

.675 8269

23

24

.508 5432

.558 0590

.607 3408

.705 2107

24

25

.529 7325

.581 3115

.632 6466

.734 5944

25

26

.550 9218

.604 5639

.657 9525

.763 9782

26

27

.572 1111

.627 8164

.683 2584

.793 3620

27

28

.593 3004

.651 0689

.708 5642

.822 7458

28

29

.614 4897

.674 3213

.733 8701

.852 1296

29

30

.635 6790

.697 5738

.759 1760

.881 5133

30

31

.656 8683

.720 8262

.784 4818

.910 8971

31

32

.678 0576

.744 0787

.809 7877

.940 2809

32

33

.699 2469

.767 3312

.835 0936

.969 6647

33

34

.720 4362

.790 5836

.860 3994

.999 0484

34

35

.741 6255

.813 8361

.885 7053

1.028 4322

35

36

.762 8148

.837 0885

.911 0112

1.057 8160

36

37

.784 0041

.860 3410

.936 3170

1.087 1998

37

38

.805 1934

.883 5935

.961 6229

1.116 5836

38

39

.826 3827

.906 8459

.986 9287

1.145 9673

39

40

.847 5720

.930 0984

1.012 2346

1.175 3511

40

41

.868 7613

.953 3508

1

1.037 5405

1.204 7349

41

42

.889 9506

.976 6033

1.062 8463

1.234 1187

42

43

.911 1399

.999 8558

1.088 1522

1.263 5024

43

44

.932 3292

1.023 1082

1.113 4581

1.292 8862

44

45

.953 5185

1.046 3607

1.138 7639

1.322 2700

45

46

.974 7078

1.069 6131

1.164 0698

1.351 6538

46

47

.995 8971

1.092 8656

1.189 3757

1.381 0376

47

48

1.017 0864

1.116 1181

1.214 6815

1.410 4213

48

49

1.038 2757

1.139 3705

1.239 9874

1.439 8051

49

50

1.059 4650

1.162 6230

1.265 2933

1.469 1889

50

60

Logarithm of Amount of 1 at Compound Interest

TABLE XII.

log (l + i)"

n

5%

oh7o

6%

-'}

n

51

1.080 6543

1.185 8754

1.290 5991

1.498 5727

51

52

1.101 8436

1.209 1279

1.315 9050

1.527 9564

52

53

1.123 0329

1.232 3804

1.341 2109

1.557 3402

53

54

1.144 2222

1.255 6328

1.366 5167

1.586 7240

54

55

1.165 41 15

1.278 8853

1.391 8226

1.616 1078

55

56

1.186 6007

1.302 1377

1.417 1285

1.645 4916

56

57

1.207 7900

1.325 3902

1.442 4343

1.674 8753

57

58

1.228 9793

1.348 6427

1.467 7402

1.704 2591

58

59

1.250 1686

1.371 8951

1.493 0461

1.733 6429

59

60

1.271 3579

1.395 1476

1.518 3519

1.763 0267

60

61

1.292 5472

1.418 4000

1.543 6578

1.792 4104

61

62

1.313 7365

1.441 6525

1.568 9636

1.821 7942

62

63

1.334 9258

1.464 9050

1.594 2695

1.851 1780

63

64

1.356 1 151

1.488 1574

1.619 5754

1.880 5618

64

65

1.377 3044

1.51 1 4099

1.644 8812

1.909 9456

65

66

1.398 4937

1.534 6623

1.670 1871

1.939 3293

66

67

1.419 6830

1.557 9148

1.695 4930

1.698 7131

67

68

1.440 8723

1.581 1673

1.720 7988

1.998 0969

68

69

1.462 0616

1.604 4197

1.746 1047

2.027 4807

69

70

1.483 2509

1.627 6722

1.771 4106

2.056 8644

70

71

1.504 4402

1.650 9246

1.796 7164

2.086 2482

71

72

1.525 6295

1.674 1771

1.822 0223

2.1 15 6320

72

73

1.546 8188

1.697 4296

1.847 3282

2.145 0158

73

74

1.568 0081

1.720 6820

1.872 6340

2.174 3995

74

75

t.589 1974

1.743 9345

1.897 9399

2.203 7833

75

76

1.610 3867

1.767 1869

1.923 2458

2.233 1671

76

77

1.631 5760

1.790 4394

1.948 5516

2.262 5509

77

78

1.652 7653

1.813 6918

1.973 8575

2.291 9347

78

79

1.673 9546

1.836 9443

1.999 1634

2.321 3184

79

80

1.695 1439

1.860 1968

2.024 4692

2.350 7022

80

81

1.716 3332

1.883 4492

2.049 7751

2.380 0860

81

82

1.737 5225

1.906 7017

2.075 0810

2.409 4698

82

83

1.758 7118

1.929 9541

2.100 3868

2.438 8535

83

84

1.779 901 1

1.953 2066

2.125 6927

2.468 2373

84

85

1.801 0904

1.976 4591

2.150 9986

2.497 621 1

85

86

1.822 2797

1.999 71 15

2.176 3044

2.527 0049

86

87

1.843 4690

2.022 9640

2.201 6103

2.556 3887

87

88

1.864 6583

2.046 2164

2.226 9161

2.585 7724

88

89

1.885 8476

2.069 4689

2.252 2220

2.615 1562

89

90

1.907 0369

2.092 7214

2.277 5279

2.644 5400

90

91

1.928 2262

2.1 15 9738

2.302 8337

2.673 9238

91

92

1.949 4155

2.139 2263

2.328 1396

2.703 3075

92

93

1.970 6048

2.162 4787

2.353 4455

2.732 6913

93

94

1.991 7941

2.185 7312

2.378 7513

2.762 0751

94

95

2.012 9834

2.208 9837

2.404 0572

2.791 4589

95

96

2.034 1727

2.232 2361

2.429 3631

2.820 8427

96

97

2.055 3620

2.255 4886

2.454 6689

2.850 2264

97

98

2.076 5513

2.278 7410

2.479 9748

2.879 61C2

98

99 :

2.097 7406

2.301 9935

2.505 2807 \

2.908 9940

99

100

2.118 9299

2.325 2460

2.530 5865 I

2.938 3778

100

61

Logarithm of Amount of 1 per Annum at Compound Interest

TABLE XIIL

log s-

n

1%

ih%

ih%

13^ CT"

n

1

.000 0000

.000 0000

.000 0000

.000 0000

1

2

.303 1961

.303 7359

.304 2751

.304 8135

2

3

.481 4570

.482 5386

.483 6194 '

.484 6993

3

4

.608 5689

.610 1944

.61 1 8193

.613 4433

4

5

.707 6557

.709 8270

.711 9983

.714 1695

5

6

.789 0173

.791 7365

.794 4568

.797 1779

6

7

.858 1481

.861 4171

.864 6887

.867 9627

7

8

.918 3277

.922 1484

.925 9738

.929 8036

8

9

.971 6713

.976 0460

.980 4275

.984 8157

9

10

1.019 6234

1.024 5542

1.029 4943 I

1.034 4439

10

11

1.063 2145

1.068 7029

1.074 2041

1.079 7182

11

12

1.103 2049

1.109 2531

1.115 3179

1.121 3991

12

13

1.140 1725

1.146 7827

1.153 4133

1.160 0644

13

14

1.174 5662

1.181 7401

1.188 9392

1.196 1633

14

15

1.206 7422

1.214 4819

1.222 2517

1.230 0515

15

16

1.236 9870

1.245 2944

1.253 6377

1.262 0160

16

17

1.265 5356

1.274 4130

1.283 3319

1.292 2917

17

18

1.292 5827

1.302 0318

1.311 5288

1.321 0728

18

19

1.318 2908

1.328 3137

1.338 3910

1.348 5222

19

20

1.342 7976

1.353 3964

1.364 0567

1.374 7779

20

21

1.366 2209

1.377 3976

1.388 6432

1.399 9572

21

22

1.388 6622

1.400 4184

1.412 2518

1.424 1615

22

23

1.410 2084

1.422 5466

1.434 9702

1.447 4783

23

24

1.430 9367

1.443 8585

1.456 8748

1.469 9841

24

25

1.450 9138

1.464 4214

1.478 0326

1.491 7462

25

26

1.470 1991

1.484 2945

1.498 5031

1.512 8237

26

27

1.488 8451

1.503 5301

1.518 3387

1.533 2689

27

28

1.506 8985

1.522 1752

1.537 5859

1.553 1287

28

29

1.524 4012

1.540 2716

1.556 2868

1.572 4451

29

30

1.541 3906

1.557 8567

1.574 4790

1.591 2556

30

31

1.557 9008

1.574 9646

1.592 1964

1.609 5939

31

32

1.573 9626

1.591 6259

1.609 4694

1.627 4908

32

33

1.589 6035

1.607 8683

1.626 3261

1.644 9741

33

34

1.604 8489

1.623 7174

1.642 7918

1.662 0692

34

35

1.619 7222

1.639 1962

1.658 8895

1.678 7990

35

36

1.634 2442

1.654 3258

1.674 6404

1.695 1850

36

37

1.648 4346

1.669 1256

1.690 0641

1.711 2464

37

38

1.662 3112

1.683 6137

1.705 1782

1.727 0011

38

39

1.675 8905

1.697 8065

1.719 9995

1.742 4656

39

40

1.689 1878

1.711 7192

1.734 5430

1.757 6552

40

41

1.702 2171

1.725 3657

1.748 8228

1.772 5837

41

42

1.714 9915

1.738 7594

! 1.762 8521

1.787 2646

42

43

1.727 5232

1.751 9124

: 1.776 6430

1.801 7097

43

44

1.739 8235

1.764 8359

1.790 2068

1.815 9306

44

45

1.751 9029

1.777 5405

1.803 5541

1.829 9376

45

46

1.763 7714

1.790 0361

1.816 6947

1.843 7407

46

47

1.775 4381

1.802 3320

1.829 6378

1.857 3490

47

48

1.786 91 18

1.814 4366

1.842 3922

1.870 7712

48

49

1.798 2004

1.826 3582

1.854 9658

1.884 0154

49

50

1.809 3117

1.838 1043

1.867 3663

1.897 0893

50

62

Logarithm of Amount of 1 per Annum at Compound Interest

TABLE XIII.

log s

^

n

1%

1 i-f'^

1 1 r -

A 2 ,0

1 a^cf

^4, /O

n

51

1.820 2527

1.849 6823

1.879 6008

1.909 9997

51

52

1.831 0303

1.861 0987

1.891 6761 i

1.922 7538

52

53

1.841 6508

1.872 3599

1.903 5987

1.935 3576

53

54

1.852 1203

1.883 4719

1.915 3743

1.947 8173

54

55

1.862 4442

1.894 4404

1.927 0088

1.960 1384

55

56

1.872 6280

1.905 2708

1.938 5074

1.972 3263

56

57

1.882 6770

1.915 9681

1.949 8752

1.984 3862

57

58

1.892 5957

1.926 5372

1.961 1172

1.996 3227

58

59

1.902 3888 1

1.936 9827

1.972 2377

2.008 1405

59

60

1.912 0608

1.947 3087

1.983 2412

2.019 8438

60

61

1.921 6156

1.957 5196

1.994 1317

2.031 4367

61

62

1.931 0570

1.967 6191

2.004 9130

2.042 9234

62

63

1.940 3892

1.977 61 11

2.015 5894

2.054 3073

63

64

1.949 6153

1.987 4990

2.026 1637

2.065 5920

64

65

1.058 7389

1.997 2864

2.036 6400

2.076 7809

65

66

1.967 7632

2.006 9762

2.047 0208

2.087 8773

66

67

1.976 6914

2.016 5720

2.057 3096

2.098 8841

67

68

1.985 5262

2.026 0762

2.067 5094

2.109 8045

68

69

1.994 2706

2.035 4921

2.077 6229

2.120 6410

69

70

2.002 9272

2.044 8218

2.087 6529

2.131 3966

70

71

2.011 4990

2.054 0685

2.097 6015

2.142 7033

71

72

2.019 9877

2.063 2342

2.107 4718

2.152 6744

72

73

2.028 3964

2.072 3216

2.117 2659

2.163 2016

73

74

2.036 7270

2.081 3329

2.126 9858

2.173 6573

74

75

2.044 9818

2.090 2704

2.136 6343

2.184 0440

75

76

2.053 1629

2.099 1358

2.146 2130

2.194 3633

76

77

2.061 2722

2.107 9313

2.155 7240

2.204 6174

77

78

2.069 3117

2.116 6591

2.165 1692

2.214 8083

78

79

2.077 2836

2.125 3208

2.174 5505

2.224 9376

79

80

2.085 1888

2.133 9180

2.183 8700

2.235 0075

80

81

2.093 0300

2.142 4529

2.193 1287

2.245 0193

81

82

2.100 8084

2.150 9267

2.202 3289

2.254 9749

82

83

2.108 5257

2.159 3415

2.211 4721

2.264 8758

83

84

2.1 16 1835

2.167 6983

2.220 5594

2.274 7234

84

85

2.123 7830

2.175 9991

2.229 5928

2.284 5194

85

86

2.131 3260

2.184 2449

2.238 5735

2.294 2649

86

87

2.138 8137

2.192 4372

2.247 5028

2.303 9616

87

88

2.146 2474

2.200 5774

2.256 3822

2.313 6106

88

89

2.153 6286

2.208 6670

2.265 2127

2.323 2132

89

90

2.160 9584

2.216 7068

2.273 9958

2.332 7707

90

91

2.168 2378

2.224 6982

2.282 7326

2.342 2845

91

92

2.175 4683

2.232 6426

2.291 4246

2.351 7553

92

93

2.182 651 1

2.240 5407

2.300 0724

2.361 1844

93

94

2.189 7869

2.248 3941

2.308 6772

2.370 5730

94

95

2.196 8771

2.256 2033

2.317 2401

2.379 9219

95

96

2.203 9226

2.263 9698

2.325 7623

2.389 2323

96

97

2.210 9244

2.271 6943

2.334 2445

2.398 5051

97

98

2.217 8833

2.279 3778

2.342 6881

2.407 7413

98

99

2.224 8005

2.287 0213

2.351 0935

2.416 9417

99

100

2.231 6769

2.294 6255

2.359 4617

2.426 1073

100

63

Logarithm of Amount of 1 per Annum at Compound Interest

i

TABLE XIII.

log S—.

^ Til

n

2%

^^ /O

^^ /O

2% re

n

1

.000 0000

.000 0000

.000 0000

.000 0000

1

2

.305 3514

.305 8885

.306 4250

.306 9609

2

3

.485 7782

.486 8563

.487 9334

.489 0096

3

4

.615 0666

.616 6893

.618 3112

.619 9325

4

5

.716 3407

.718 51 16

.720 6825

.722 8532

5

6

.799 9000

.802 6230

.805 3470

.808 0718

6

7

.871 2391

.874 5179

.877 7991

.881 0826

7

8

.933 6376

.937 4759

.941 3184

.945 1651

8

9

.989 2107

.993 6123

.998 0203

1.002 4348

9

10

1.039 4030

1.044 3715

1.049 3491

1.054 3359

10

1 1

1.085 2447

1.090 7838

1.096 3352

1.101 8988

11

12

1.127 4964

1.133 6099

1.139 7391

1.145 8840

12

13

1.166 7359

1.173 4273

1.180 1386

1.186 8694

13

14

1.203 4120

1.210 6852

1.217 9825

1.225 3038

14

15

1.237 8808

1.245 7394

1.253 6269

1.261 5431

15

16

1.270 4292

1.278 8770

1.287 3588

1.295 8744

16

17

1.301 2920

1.310 3325

1.319 4128

1.328 5323

17

18

1.330 6635

1.340 3006

1.349 9833

1.359 7112

18

19

1.358 7067

1.368 9439

1.379 2331

1.389 5739

19

20

1.385 5593

1.396 4002

1.407 3001

1.418 2582

20

21

1.411 3388

1.422 7873

1.434 3018

1.445 8816

21

22

1.436 1465

1.448 2061

1.460 3393

1.472 5454

22

23

1.460 0699

1.472 7443

1.485 5004

1.498 3370

23

24

1.483 1858

1.496 4786

1.509 8614

1.523 3331

24

25

1.505 5610

1.519 47S3

1.533 4894

1.547 6005

25

26

1.527 2548

1.541 7953

1.556 4437

1.571 1986

26

27

1.548 3197

1.563 4895

1.578 7767

1.594 1798

27

28

1.568 8024

1.584 6051

1.600 5351

1.616 5907

28

29

1.588 7448

1.605 1840

1.621 7608

1.638 4733

29

30

1.608 1844

1.625 2637

1.642 4913

1.659 8650

30

31

1.627 1552

1.644 8781

1.662 7604

1.680 7996

31

32

1.645 6878

1.664 0580

1.682 5988

1.701 3078

32

33

1.663 8099

1.682 8308

1.702 0343

1.721 4173

33

34

1.681 5470

1.701 2223

1.721 0921

1.741 1534

34

35

1.698 9221

1.719 2552

1.739 7954

1.760 5392

35

36

1.715 9563

1.736 9510

1.758 1653

1.779 5959

36

37

1.732 6692

1.754 3287

1.776 2212

1.798 3426

37

38

1.749 0785

1.771 4065

1.793 9810

1.816 7975

38

39

1.765 2008

1.788 2007

1.811 4610

1.834 9767

39

40

1.781 0512

1.804 7266

1.828 6763

1.852 8954

40

41

1.796 6439

1.820 9981

1.845 6413

1.870 5679

41

42

1.81 1 9918

1.837 0285

1.862 3688

1.888 0070

42

43

1.827 1072

1.852 8296

1.878 8710

1.905 2247

43

44

1.842 0014

1.868 4131

1.895 1590

1.922 2325

44

45

1.856 6849

1.883 7892

1.91 1 2436

1.939 0407

45

46

1.871 1674

1.898 9678

1.927 1344

1.955 6591

46

47

1.885 4583

1.913 9582

1.942 8405

1.972 0969

47

48

1.899 5662

1.928 7689

1.958 3707

1.988 3627

48

49

1.913 4991

1.943 4080

1.973 7330

2.004 4645

49

50

1.927 2646

1.957 8831

1.988 9349

2.020 4098

50

61

Logarithm of Amount of 1 per Annum at Compound Interest

TABLE XIIL

*

logs-^

n

2^

2%%

2h%

2%%

n

51

1.940 8699

1.972 2013

2.003 9836

2.036 2055

51

52

1.954 3216

1.986 3693

2.018 8855

2.051 8588

52

53

1.967 6262

2.000 3935

2.033 6473

2.067 3755

53

54

1.980 7897

2.014 2798

2.048 2747

2.082 7617

54

55

1.993 8175

2.028 0337

1

2.062 7734

2.098 0228

55

56

2.006 7153

2.041 6607

2.077 1487

2.113 1642

56

57

2.019 4877

2.055 1657

2.091 4055

2.128 1910

57

58

2.032 1399

2.068 5539

2.105 5487

2.143 1081

58

59

2.044 6761

2.081 8292

2.119 5828

2.157 9195

59

60

2.057 1012

2.094 9962

2.133 5121

2.172 6294

60

61

2.069 4186

2.108 0594

2.147 3405

2.187 2425

61

62

2.081 6324

2.121 0217

2.161 0720

2.201 7622

62

63

2.093 7466

2.133 8877

2.174 7100

2.216 1920

63

64

2.105 7645

2.146 6603

2.188 2583

2.230 5355

64

65

2.1 17 6894

2.159 3433

2.201 7201

2.244 7960

65

66

2.129 5246

2.171 9397

2.215 0987

2.258 9766

66

67

2.141 2731

2.184 4523

2.228 3970

2.273 0805

67

68

2.152 9377

2.196 8843

2.241 6177

2.287 1 103

68

69

2.164 5217

2.209 2386

2.254 7640

2.301 0688

69

70

2.176 0272

2.221 5175

2.267 8381

2.314 9587

70

71

2.187 4572

2.233 7238

2.280 8427

2.328 7825

71

72

2.198 8137

2.245 8597

2.293 7803

2.342 5422

72

73

2.210 0995

2.257 9278

2.306 6531

2.356 2406

73

74

2.221 3164

2.269 9299

2.319 4631

2.369 8796

74

75

2.232 4669

2.281 8688

2.332 2127

2.383 4611

75

76

2.243 5529

2.293 7458

2.344 9038

2.396 9875

76

77

2.254 5765

2.305 5634

2.357 5385

2.410 4603

77

78

2.265 5394

2.317 3233

2.370 1 183

2.423 8818

78

79

2.276 4436

2.329 0273

2.382 6455

2.437 2533

79

80

2.287 2909

2.340 6772

2.395 1213

2.450 5768

80

81

2.298 0829

2.352 2745

2.407 5477

2.463 8537

81

82

2.308 8212

2.363 8211

2.419 9261

2.477 0857

82

83

2.319 5074

2.375 3183

2.432 2581

2.490 2743

83

84

2.330 1429

2.386 7678

2.444 5453

2.503 4208

84

85

2.340 7294

2.398 1708

2.456 7888

2.516 5268

85

86

2.351 2681

2.409 5289

2.468 9901

2.529 5934

86

87

2.361 7606

2.420 8433

2.481 1507

2.542 6220

87

88

2.372 2079

2.432 1153

2.493 2716

2.555 6138

88

89

2.382 6114

2.443 3462

2.505 3541

2.568 5700

89

90

2.392 9723

2.454 5370

2.517 3995

2.581 4917

90

91

2.403 2917

2.465 6893

2.529 4086

2.594 3801

91

92

2.413 5710

2.476 8037

2.541 3828

2.607 2361

92

93

2.423 8109

2.487 8815

2.553 3231

2.620 0608

93

94

2.434 0127 ■

2.498 9237

2.565 2303

2.632 8552

84

95

2.444 1776

2.509 9314

2.577 1058

2.645 6203

95

96

2.454 3061

2.520 9055

2.588 9500

2.658 3569

96

97

2.464 3995

2.531 8470

2.600 7642

2.671 0660

97

98

2.474 4586

2.542 7567

2.612 5493

2.683 7484

98

99

2.484 4844

2.553 6355

2.624 3059

2.696 4047

99

100

2.494 4777 1

2.564 4843

2.636 0350

2.709 0361

100

Logarithm of Amount of 1 Per Annum at Compound Interest
TABLE XI I L '«^ ^Tl

n

3%

sh%

4Sc

^h7o

n

1

.000 0000

.000 0000

.000 0000

.000 0000

1

2

.307 4960

.308 5644

.309 6302

.310 6933

2

3

.490 0850

.492 2329

.494 3773

.496 5180

3

4

.621 5530

.624 7917

.628 0274

.631 2602

4

5

.725 0238

.729 3645

.733 7045

.738 0437

5

6

.810 7976

.816 2513

.821 7084

.827 1684

6

7

.884 3683

.890 9465

.897 5333

.904 1284

7

8

.949 0159

.956 7296

.964 4588

.972 2034

8

9

1.006 8555

1.015 7158

1.024 6004

1.033 5088

9

10

1.059 3316

1.069 3496

1.079 4022

1.089 4886

10

11

1.107 4744

1.118 6612

1.129 8945

1.141 1731

11

12

1.152 0445

1.164 4112

1.176 8378

1.189 3227

12

13

1.193 6196

1.207 1772

1.220 8097

1.234 5151

13

14

1.232 6486

1.247 4083

1.262 2591

1.277 1990

14

15

1.269 4876

1.285 4601

1.301 5419

1.317 7302

15

16

1.304 4233

1.321 6197

1.338 9450

1.356 3956

16

17

1.337 6906

1.356 1218

1.374 7028

1.393 4296

17

18

1.369 4837

1.389 1606

1.409 0097

1.429 0265

18

19

1.399 9655

1.420 8990

1.442 0285

1.463 3488

19

20

1.429 2737

1.451 4745

1.473 8966

1.496 5342

20

21

1.457 5259

1.481 0048

1.504 7318

1.528 7000

21

22

1.484 8233

1.509 5910

1.534 6348

1.559 9470

22

23

1.511 2533

1.537 3205

1.563 6933

1.590 3628

23

24

1.536 8925

1.564 2698

1.591 9835

1.620 0235

24

25

1.561 8079

1.590 5059

1.619 5723

1.648 9960

25

26

1.586 0587

1.616 0878

1.646 5189

1.677 3391

26

27

1.609 6972

1.641 0680

1.672 8754

1.705 1050

27

28

1.632 7702

1.665 4931

1.698 6883

1.732 3402

28

29

1.655 3195

1.689 4047

1.723 9995

1.759 0861

29

30

1.677 3826

1.712 8405

1.748 8462

1.785 3802

30

31

1.698 9934

1.735 8342

1.773 2621

1.811 2558

31

32

1.720 1821

1.758 4160

1.797 2777

1.836 7433

32

33

1.740 9769

1.780 6141

1.820 9205

1.861 8702

33

34

1.761 4029

1.802 4532

1.844 2155

1.886 6613

34

35

1.781 4831

1.823 9566

1.867 1858

1.911 1396

35

36

1.801 2386

1.845 1452

1.889 8523

1.935 3257

36

37

1.820 6888

1.866 0383

1.912 2340

1.959 2387

37

38

1.839 8515

1.886 6537

1.934 3486

1.982 8960

38

39

1.858 7431

1.907 0076

1.956 2124

2.006 3138

39

40

1.877 3786

1.927 1150

1.977 8402

2.029 5068

40

41

1.895 7721

1.946 9900

1.999 2460

2.052 4889

41

42

1.913 9366

1.966 6455

2.020 4425

2.075 2724

42

43

1.931 8843

1.986 0935

2.041 4416

2.097 8692

43

44

1.949 6262

2.005 3449

2.062 2543

2.120 2903

44

45

1.967 1727

2.024 4104

2.082 8908

2.142 5458

45

46

1.984 5339

2.043 2994

2.103 3608

2.164 6449

46

47

2.001 7186

2.062 0213

2.123 6732

2.186 5965

47

48

2.018 7354

2.080 5841

2.143 8364

2.208 4089

48

49

2.035 5924

2.098 9960

2.163 8580

2.230 0895

49

50

2.052 2970

2.117 2644

2.183 7454

2.251 6456

50

66

Logarithm of Amount of 1 Per Annum at Compound Interest
TABLE XIII. '''^ *iii

n

3^^c

■ih'c

V:c

iH7c

n

51

2.068 8564

2.135 3960

2.203 5055

2.273 0839

51

52

2.085 2770

2.153 3977

2.223 1445

2.294 4106

52

53

2.101 5652

2.171 2755

2.242 6688

2.315 6315

53

54

2.117 7269

2.189 0355

2.262 0840

2.336 7526

54

55

2.133 7676

2.206 6826

2.281 3951

2.357 7786

55

56

2.149 6925

2.224 2222

2.300 6074

2.378 7145

56

57

2.165 5066

2.241 6592

2.319 7259

2.399 5648

57

58

2.181 2145

2.258 9984

2.338 7546

2.420 3342

58

59

2.196 8210

2.276 2439

2.357 6980

2.441 0264

59

60

2.212 3298

2.293 3999

2.376 5599

2.461 6456

60

61

2.227 7453

2.310 4702

2.395 3444

2.482 1950

61

62

2.243 0713

2.327 4586

2.414 0548

2.502 6783

62

63

2.258 3110

2.344 3686

2.432 6948

2.523 0988

63

64

2.273 4682

2.361 2037

2.451 2673

2.543 4594

64

65

2.288 5461

2.377 9668

2.469 7754

2.563 7631

65

66

2.303 5474

2.394 6611

2.488 2222

2.584 0127

66

67

2.318 4757

2.411 2893

2.506 6103

2.604 2107

67

68

2.333 3335

2.427 8541

2.524 9422

2.624 3596

68

69

2.348 1235

2.444 3583

2.543 2206

2.644 4618

69

70

2.362 8482

2.460 8045

2.561 4478

2.664 5195

70

71

2.377 5100

2.477 1946

2.579 6260

2.684 5346

71

72

2.392 1114

2.493 5312

2.597 7572

2.704 5093

72

73

2.406 6548

2.509 8163

2.615 8436

2.724 4455

73

74

2.241 1419

2.526 0519

2.633 8872

2.744 3449

74

75

2.435 5750

2.542 2402

2.651 8896

2.764 2093

75

76

2.449 9560

2.558 3828

2.669 8527

2.784 0402

76

77

2.464 2869

2.574 4816

2.687 7783

2.803 8393

77

78

2.478 5693

2.590 5383

2.705 6677

2.823 6079

78

79

2.492 8052

2.606 5544

2.723 5227

2.843 3476

79

80

2.506 9958

2.622 5319

2.741 3446

2.863 0596

80

81

2.521 1432

2.638 4718

2.759 1349

2.882 7452

81

82

2.535 2485

2.654 3757

2.776 8947

2.902 4055

82

83

2.549 3134

2.670 2451

2.794 6254

2.922 0418

83

84

2.563 3392

2.686 0810

2.812 3284

2.941 6551

84

85

2.577 3274

2.701 8850

2.830 0045

1

2.961 2465

85

86

2.591 2791

2.717 6582

1

2.847 6550

2.980 8169

86

87

2.605 1955

2.733 4016

2.865 2811

3.000 3674

87

88

2.619 0781

2.749 1 166

2.882 8835

3.019 8987

88

89

2.632 9277

2.764 8040

2.900 4634

3.039 41 18

89

90

2.646 7456

2.780 4649

2.918 0215

3.058 9075

90

91

2.660 5329

2.796 1003

2.935 5589

3.078 3865

91

92

2.674 2904

2.81 1 71 12

2.953 0764

3.097 8497

92

93

2.688 0193

2.827 2984

2.970 5747

3.1 17 2975

93

94

2.701 7205

2.842 8628

2.988 0547

3.136 7310

94

95

2.715 3948

2.858 4052

3.005 5171

3.156 1505

95

96

2.729 0433

2.873 9265

3.022 9625

3.175 5567

96

97

2.742 6668

2.889 4276

3.040 3918

3.194 9503

97

98

2.756 2659

2.904 9088

3.057 8055

3.214 3319

98

99

2.769 8415

2.920 3712

3.075 2042

3.233 7018

99

100

2.783 3944

2.935 8153

3.092 5886

3.253 0606

100

Logarithm of Amount of 1 Per Annum at Compound Interest
TABLE XIII. ^f>B s--.

n

5%

5h7o

6%

nor
« /o

n

1

.000 0000

.000 0000

.000 0000

.000 0000

1

2

.311 7539

.312 81 18

.313 8672

.315 9703

2

3

.498 6551

.500 7886

.502 9185

.507 1675

3

4

.634 4898

.637 7164

.640 9399

.647 3774

4

5

.742 3819

.746 7191

.751 0552

.759 7236

5

6

.832 6310

.838 0963

.843 5640

.854 5058

6

7

.910 7316

.917 3424

.923 9606

.937 2180

7

8

.979 9628

.987 7365

.995 5241

1.011 1390

8

9

1.042 4402

1.051 3941

1.060 3697

1.078 3839

9

10

1.099 6079

1.109 7592

1.119 9416

1.140 3964

10

11

1.152 4959

1.163 8617

1.175 2694

1.198 2061

11

12

1.201 8647

1.214 4621

1.227 1136

1.252 5728

12

13

1.248 2917

1.262 1377

1.276 0512

1.304 0733

13

14

1.292 2258

1.307 3371

1.322 5308

1.353 1559

14

15

1.334 0226

1.350 4160

1.366 9077

1.400 1756

15

16

1.373 9687

1.391 6608

1.409 4686

1.445 4182

16

17

1.412 2959

1.431 3059

1.450 4475

1.489 1175

17

18

1.449 2065

1.469 5452

1.490 0379

1.531 4665

18

19

1.484 8549

1.506 5412

1.528 4023

1.572 6273

19

20

1.519 3811

1.542 4310

1.565 6778

1.612 7361

20

21

1.552 9024

1.577 3318

1.601 9810

1.651 9094

21

22

1.585 5195

1.611 3442

1.637 4126

1.690 2470

22

23

1.617 3199

1.644 5552

1.672 0593

1.727 8351

23

24

1.648 3795

1.677 0409

1.705 9969

1.764 7489

24

25

1.678 7650

1.708 8676

1.739 2915

1.801 0539

25

26

1.708 5353

1.740 0939

1.772 0016

1.836 8080

26

27

1.737 7421

1.770 7718

1.804 1787

1.872 0620

27

28

1.766 4321

1.800 9473

1.835 8688

1.906 861 1

28

29

1.794 6464

1.830 6615

1.867 1126

1.941 2456

29

30

1.822 4221

1.859 9514

1.897 9468

1.975 2515

30

31

1.849 7927

1.888 8500

1.928 4045

2.008 9111

31

32

1.876 7882

1.917 3873

1.958 5150

2.042 2531

32

33

1.903 4361

1.945 5905

1.988 3054

2.075 3039

33

34

1.929 7609

1.973 4841

2.017 8000

2.108 0870

34

35

1.955 7854

2.001 0903

2.047 0207

2.140 6239

35

36

1.981 5302

2.028 4297

2.075 9879

2.172 9340

36

37

2.007 0140

2.055 5207

2.104 7196

2.205 0349

37

38

2.032 2544

2.082 3808

2.133 2329

2.236 9427

38

39

2.057 2667

2.109 0252

2.161 5431

2.268 6723

39

40

2.082 0661

2.135 4685

2.189 6642

2.300 2369

40

41

2.106 6660

2.161 7241

2.217 6094

2.331 6491

41

42

2.131 0786

2.187 8039

2.245 3906

2.362 9200

42

43

2.155 3158

2.213 7196

2.273 0188

2.394 0600

43

44

2.179 3880

2.239 4814

2.300 5042

2.425 0789

44

45

2.203 3053

2.265 0990

2.327 8563

2.455 9852

45

46

2.227 0769

2.290 5815

2.355 0838

2.486 7871

46

47

2.250 7113

2.315 9373

2.382 1947

2.517 4920

47

48

2.274 2165

2.341 1740

2.409 1966

2.548 1069

48

49

2.297 6000

2.366 2990

2.436 0965

2.578 6281

49

50

2.320 8688

2.391 3189

2.462 9008

2.609 0915

50

68

Logarithm of Amount of 1 Per Annum at Compound Interest
TABLE XIII. '«^ ^m

n

5^7

6%

7%

n

51

2.344 0293

2.416 2399

2.489 6155

2.639 4725

51

52

2.367 0877

2.441 0682

2.516 2462

2.669 7862

52

53

2.390 0497

2.465 8092

2.542 7983

2.700 0373

53

54

2.412 9205

2.490 4677

2.569 2767

2.730 2300

54

55

2.435 7052

2.515 0488

2.595 6858

2.760 3686

55

56

2.458 4084

2.539 5568

2.622 0297

2.790 4566

56

57

2.481 0349

2.563 9961

2.648 3128

2.820 4973

57

58

2.503 5883

2.588 3705

2.674 5385

2.850 4944

58

59

2.526 0729

2.612 6838

2.700 7103

2.880 4504

59

60

2.548 4922

2.636 9394

2.726 8316

2.910 3684

60

61

2.570 8497

2.661 1405

2.752 9053

2.940 2508

61

62

2.593 1486

2.685 2902

2.778 9343

2.970 1001

62

63

2.615 3922

2.709 3915

2.804 9213

2.999 9185

63

64

2.637 5831

2.733 4471

2.830 8686

3.029 7081

64

65

2.659 7242

2.757 4593

2.856 7789

3.059 4707

65

66

2.681 8180

2.781 4307

2.882 6541

3.089 2082

66

67

2.703 8670

2.805 3636

2.908 4965

3.118 9224

67

68

2.725 8735

2.829 26,00

2.934 3079

3.148 6148

68

69

2.747 8396

2.853 1220

2.960 0901

3.178 2866

69

70

2.769 7674

2.876 9513

2.985 8449

3.207 9396

70

71

2.791 6590

2.900 7499

3.011 5737

3.237 5748

71

72

2.813 5160

2.924 5194

3.037 2785

3.267 1934

72

73

2.835 3403

2.948 2614

3.062 9602

3.296 7965

73

74

2.857 1335

2.971 9773

3.088 6203

3.326 3851

74

75

2.878 8971

2.995 6687

3.114 2602

3.355 9603

75

76

2.900 6328

3.019 3367

3.139 8809

3.385 5229

76

77

2.922 3416

3.042 9828

3.165 4835

3.415 0736

77

78

2.944 0253

3.066 6079

3.191 0692

3.444 6135

78

79

2.965 6848

3.090 2134

3.216 6389

3.474 1431

79

80

2.987 3215

3.113 8001

3.242 1935

3.503 6630

80

81

3.008 9366

3.137 3693

3.267 7338

3.533 1741

81

82

3.030 5308

3.160 9216

3.293 2608

3.562 6767

82

83

3.052 1055

3.184 4582

3.318 7751

3.592 1716

83

84

3.073 6614

3.207 9797

3.344 2776

3.621 6592

84

85

3.095 1997

3.231 4872

3.369 7689

3.651 1400

85

86

3.116 7210

3.254 9811

3.395 2496

3.680 6144

86

87

3.138 2264

3.278 4624

3.420 7204

3.710 0828

87

88

3.159 7164

3.301 9316

3.446 1817

3.739 5457

88

89

3.181 1920

3.325 3894

3.471 6342

3.769 0034

89

90

3.202 6538

3.348 8364

3.497 0784

3.798 4563

90

91

3.224 1024

3.372 2731

3.522 5146

3.827 9046

91

92

3.245 5384

3.395 7003

3.547 9435

3.857 3487

92

93

3.266 9627

3.419 1183

3.573 3653

3.886 7889

93

94

3.288 3756

3.442 5275

3.598 7807

3.916 2253

94

95

3.309 7778

3.465 9285

3.624 1896

3.945 6583

95

96

3.331 1697

3.489 3218

3.649 5929

3.975 0881

96

97

3.352 5519

3.512 7076

3.674 9906

4.004 5148

97

98

3.373 9249

3.536 0865

3.700 3830

4.033 9388

98

99

3.395 2889

3.559 4587

3.725 7705

4.063 3601

99

100

3.416 6447

3.582 8247

3.751 1534

4.902 7789

100

69

Logarithm of Present Value of 1 per Annum at Compound Interest
TABLE XIV.

log a— I

n

1%

ih%

ih7o

1%%

n

1

9.995 6786

9.994 6049

9.993 5339

9.992 4656

1

2

0.294 5533

0.292 9457

0.291 3429

0.289 7447

2

3

0.468 4928

0.466 3535

0.464 2213

0.462 0960

3

4

0.591 2834

0.588 6142

0.585 9551

0.583 3056

4

5

0.686 0488

0.682 8519

0.679 6682

0.676 4975

5

6

0.763 0891

0.759 3663

0.755 6605

0.751 9714

6

7

0.827 8985

0.823 6519

0.819 4264

0.815 2218

7

8

0.883 7567

0.878 9882

0.874 2455

0.869 5282

8

9

0.932 7790

0.927 4906

0.922 2332

0.917 0060

9

10

0.976 4098

0.970 6037

0.964 8338

0.959 0998

10

11

1.015 6795

1.009 3574

1.003 0777

0.996 8395

11

12

1.051 3485

1.044 5127

1.037 7254

1.030 9861

12

13

1.083 9946

1.076 6473

1.069 3547

1.062 1 170

13

14

1.114 0669

1.106 2096

1.098 4146

1.090 6814

14

15

1.141 9215

1.133 5564

1.125 2611

1.117 0352

15

16

1.167 8449

1.158 9740

1.150 1810

1.141 4654

16

17

1.192 0723

1.182 6976

1.173 4092

1.164 2065

17

18

1.214 7980

1.204 9213

1.195 1399

1.185 4533

18

19

1.236 1846

1.225 8081

1.215 5363

1.205 3683

19

20

1.256 3701

1.245 4959

1.234 7359

1.224 0895

20

21

1.275 4721

1.264 1018

1.252 8563

1.241 7345

21

22

1.293 5919

1.281 7277

1.269 9989

1.258 4043

22

23

1.310 8168

1.298 4609

1.286 2512

1.274 1866

23

24

1.327 2237

1.314 3777

1.301 6897

1.289 1582

24

25

1.342 8796

1.329 5457

1.316 3816

1.303 3859

25

26

1.357 8434

1.344 0236

1.330 3860

1.316 9288

26

27

1.372 1681

1.357 8643

1.343 7555

1.329 8396

27

28

1.385 8999

1.371 1144

1.356 5367

1.342 1651

28

29

1.399 0814

1.383 8157

1.368 7716

1.353 9471

29

30

1.411 7494

1.396 0056

1.380 4978

1.365 2230

30

31

1.423 9383

1.407 7186

1.391 7490

1.376 0269

31

32

1.435 6785

1.418 9848

1.402 5561

1.386 3894

32

33

1.446 9981

1.429 8323

1.412 9467

1.396 3384

33

34

1.457 9223

1.440 2864

1.422 9464

1.405 8990

34

35

1.468 4740

1.450 3701

1.432 5780

1.415 0945

35

36

1.478 6748

1.460 1047

1.441 8629

1.423 9459

36

37

1.488 5437

1.469 5094

1.450 8205

1.432 4729

37

38

1.498 0990

1.478 6026

1.459 4687

1.440 6932

38

39

1.507 3570

1.487 4002

1.467 8238

1.448 6233

39

40

1.516 3329

1.495 9178

1.475 9013

1.456 2784

40

41

1.525 0407

1.504 1695

1.483 7150

1.463 6726

41

42

1.533 4937

1.512 1681

1.491 2783

1.470 8190

42

43

1.541 7041

1.519 9260

1.498 6032

1.477 7297

43

44

1.549 6830

1.527 4545

1.505 7010

1.484 4162

44

45

1.557 4411

1.534 7641

1.512 5822

1.490 8888

45

46

1.564 9883

1.541 8647

1.519 2567

1.497 1574

46

47

1.572 3336

1.548 7654

1.525 7339

1.503 2313

47

48

1.579 4858

1.555 4751

1.532 0221

1.509 1191

48

49

1.586 4531

1.562 0017

1.538 1297

1.514 8290

49

50

1.593 2430

1.568 3528

1.544 0641

1.520 3684

50

70

Logarithm of Present Value of 1 per Annum at Compound Interest
TABLE XIV. '^^ «ir

n

1%

ikVc

ih'c

1 3, f '
^4 /C

n

51

1.599 8627

1.574 5356

1.549 8326

1.525 7444

51

52

1.606 3189

1.580 5570

1.555 4419

1.530 9641

52

53

1.612 6180

1.586 4232

1.560 8985

1.536 0335

53

54

1.618 7660

1.592 1401

1.566 2080

1.540 9588

54

55

1.624 7686

1.597 7137

1.571 3764

1.545 7455

55

56

1.630 6310

1.603 1490

1.576 4091

1.550 3989

56

57

1.636 3587

1.608 4513

1.581 3109

1.554 9244

57

58

1.641 9560

1.613 6253

1.586 0868

1.559 3266

58

59

1.647 4278

1.618 6757

1.590 7411

1.563 6099

59

60

1.652 7783

1.623 6068

1.595 2786

1.567 7788

60

61

1.658 0117

1.628 4226

1.599 7031

1.571 8373

61

62

1.663 1319

1.633 1271

1.604 0185

1.575 7895

62

63

1.668 1426

1.637 7241

1.608 2287

1.579 6389

63

64

1.673 0473

1.642 2170

1.612 3371

1.583 3893

64

65

1.677 8496

1.646 6094

1.616 3472

1.587 0438

65

66

1.682 5526

1.650 9042

1.620 2620

1.590 6058

66

67

1.687 1593

1.655 1048

1.624 0849

1.594 0782

67

68

1.691 6728

1.659 2141

1.627 8186

1.597 4640

68

69

1.696 0959

1.663 2348

1.631 4660

1.600 7662

69

70

1.700 4311

1.667 1697

1.635 0298

1.603 9872

70

71

1.704 6814

1.671 0212

1.638 5126

1.607 1297

71

72

1.708 8489

1.674 7920

1-.641 9168

1.610 1963

72

73

1.712 9362

1.678 4844

1.645 2448

1.613 1891

73

74

1.716 9454

1.682 1006

1.648 4987

1.616 1105

74
75

75

1.720 8788

1.685 6429

1.651 6811

1.618 9626

76

1.724 7385

1.689 1134

1.654 7937

1.621 7474

76

77

1.728 5263

1.692 5139

1.657 8387

1.624 4671

77

78

1.732 2446

1.695 8466

1.660 8179

1.627 1236

78

79

1.735 8949

1.699 1132

1.663 7332

1.629 7186

79

80

1.739 4790

1.702 3155

1.666 5865

1.632 2540

80

81

1.742 9988

1.705 4553

1.669 3793

1.634 7315

81

82

1.746 4558

1.708 5342

1.672 1135

1.637 1527

82

83

1.749 8517

1.711 5538

1.674 7905

1.639 5190

83

84

1.753 1880

1.714 5157

1.677 4119

1.641 8322

84

85

1.756 4662

1.717 4213

1.679 9792

1.644 0938

85

86

1.759 6878

1.720 2721

1.682 4938

1.646 3050

86

87

1.762 8541

1.723 0694

1.684 9571

1.648 4673

87

88

1.765 9665

1.725 8147

1.687 3704

1.650 5818

88

89

1.769 0262

1.728 5091

1.689 7350

1.652 6500

89

90

1.772 0346

1.731 1538

1.692 0520

1.654 6732

90

91

1.774 9927

1.733 7504

1.694 3229

1.656 6524

91

92

1.777 9019

1.736 2997

1.696 5486

1.658 5888

92

93

1.780 7632

1.738 8028

1.698 7304

1.660 4835

93

94

1.783 5778

1.741 2610

1.700 8692

1.662 3376

94

95

1.786 3465

1.743 6754

1.702 9662

1.664 1522

95

96

1.789 0707

1.746 0467

1.705 0223

1.665 9281

96

97

1.791 7511

1.748 3762

1.707 0385

1.667 6665

97

98

1.794 3887

1.750 6646

1.709 0159

1.669 3684

98

99

1.796 9846

1.752 9131

1.710 9552

1.671 0343

99

100

1.799 5395

1.755 1224

1.712 8575

1.672 6655

100

71

Logarithm of Present Value of 1 per Annum at Compound Interest
TABLE XIV. '«^ «7i^

n

2%

2h%

2%%

2%%

re

1

9.991 3999

9.990 3366

9.989 2761

9.988 2182

1

2

0.288 1510

0.286 5619

0.284 9773

0.283 3972

2

3

0.459 9777

0.457 8663

0.455 7618

0.453 6641

3

4

0.580 6660

0.578 0361

0.575 4158

0.572 8051

4

5

0.673 3398

0.670 1951

0.667 0632

0.663 9441

5

6

0.748 2990

0.744 6432

0.741 0038

0.737 3808

6

7

0.811 0379

0.806 8747

0.802 7321

0.798 6098

7

8

0.864 8362

0.860 1693

0.855 5275

0.850 9104

8

9

0.911 8092

0.906 6424

0.901 5055

0.896 3982

9

10

0.953 4014

0.947 7383

0.942 1105

0.936 5176

10

11

0.990 6429

0.984 4873

0.978 3727

0.972 2987

11

12

1.024 2944

1.017 6501

1.011 0528

1.004 5021

12

13

1.054 9336

1.047 8042

1.040 7283

1.033 7056

13

14

1.083 0096

1.075 3988

1.067 8484

1.060 3581

14

15

1.108 8782

1.100 7897

1.092 7690

1.084 8157

15

16

1.132 8265

1.124 2639

1.115 7770

1.107 3651

16

17

1.155 0891

1.146 0562

1.137 1071

1.128 2413

17

18

1.175 8605

1.166 3609

1.156 9537

1.147 6382

18

19

1.195 3035

1.185 3409

1.175 4796

1.165 7190

19

20

1.213 5558

1.203 1339

1.192 8228

1.182 6215

20

21

1.230 7352

1.219 8576

1.209 1006

1.198 4631

21

22

1.246 9427

1.235 6131

1.224 4143

1.213 3451

22

23

1.262 2660

1.250 4881

1.238 8515

1.227 3549

23

24

1.276 7817

1.264 5589

1.252 4886

1.240 5691

24

25

1.290 5567

1.277 8929

1.265 3928

1.253 0548

25

26

1.303 6504

1.290 5491

1.277 6232

1.264 8710

26

27

1.316 1151

1.302 5799

1.289 2323

1.276 0704

27

28

1.327 9975

1.314 0322

1.300 2669

1.286 6995

28

29

1.339 3398

1.324 9478

1.310 7687

1.296 8002

29

30

1.350 1793

1.335 3642

1.320 7753

1.306 4100

30

31

1.360 5499

1.345 3153

1.330 3206

1.315 5628

31

32

1.370 4823

1.354 8319

1.339 4351

1.324 2892

32

33

1.380 0042

1.363 9414

1.348 1467

1.332 6168

33

34

1.389 1411

1.372 6695

1.356 4807

1.340 5712

34

35

1.397 9160

1.381 0391

1.364 4601

1.348 1751

35

36

1.406 3501

1.389 0716

1.372 1061

1.355 4499

36

37

1.414 4628

1.396 7860

1.379 4382

1.362 4149

37

38

1.422 2720

1.404 2005

1.386 4740

1.369 0879

38

39

1.429 7941

1.411 3313

1.393 2302

1.375 4853

39

40

1.437 0443

1.418 1939

1.399 7217

1.381 6222

40

41

1.444 0368

1.424 8022

1.405 9628

1.387 5128

41

42

1.450 7846

1.431 1692

1.411 9665

1.393 1700

42

43

1.457 2998

1.437 3070

1.417 7447

1.398 6060

43

44

1.463 5938

1.443 2271

1.423 3089

1.403 8319

44

45

1.469 6772

1.448 9399

1.428 6696

1.408 8583

45

46

1.475 5596

1.454 4553

1.433 8365

1.413 6948

46

47

1.481 2503

1.459 7823

1.438 8188

1.418 3509

47

48

1.486 7580

1.464 9297

1.443 6252

1.422 8349

48

49

1.492 0907

1.469 9054

1.448 2636

1.427 1548

49

50

1.497 2560

1.474 7172

1.452 7417

1.431 3182

50

72

Logarithm of Present Value of 1 per Annum at Compound Interest
TABLE XIV.

log a-

n

2%

2h%

n

51

1.502 2611

1.479 3721

1.457 0664

1.435 3322

51

52

1.507 1127

1.483 8769

1.461 2445

1.439 2036

52

53

1.511 8171

1.488 2377

1.465 2824

1.442 9384

53

54

1.516 3803

1.492 4606

1.469 1860

1.446 5428

54

55

1.520 8081

1.496 5512

1.472 9608

1.450 0221

55

56

1.525 1056

1.500 5150

1.476 6122

1.453 3817

56

57

1.529 2779

1.504 3567

1.480 1452

1.456 6268

57

58

1.533 3300

1.508 0814

1.483 5646

1.459 7619

58

59

1.537 2661

1.511 6935

1.486 8747

1.462 7915

59

60

1.541 0909

1.515 1973

1.490 0802

1.465 7197

60

61

1.544 8081

1.518 5970

1.493 1847

1.468 5508

61

62

1.548 4218

1.521 8962

1.496 1922

1.471 2886

62

63

1.551 9357

1.525 0987

1.499 1064

1.473 9366

63

64

1.555 3534

1.528 2081

1.501 9309

1.476 4983

64

65

1.558 6782

1.531 2277

1.504 6689

1.478 9770

65

66

1.561 9132

1.534 1608

1.507 3235

1.481 3758

66

67

1.565 0615

1.537 0101

1.509 8980

1.483 6979

67

68

1.568 1261

1.539 7789

1.512 3950

1.485 9458

68

69

1.571 1098

1.542 4697

1.514 8172

1.488 1226

69

70

1.574 0152

1.545 0852

1.517 1676

1.490 2306

70

71

1.576 8449

1.547 6282

1.519 4483

1.492 2725

71

72

1.579 6013

1.550 1009

1.521 6620

1.494 2504

72

73

1.582 2869

1.552 5056

1.523 8108

1.496 1670

73

74

1.584 9037

1.554 8445

1.525 8971

1.498 0240

74

75

1.587 4540

1.557 1200

1.527 9228

1.499 8239

75

76

1.589 9399

1.559 3338

1.529 8900

1.501 5683

76

77

1.592 2632

1.561 4879

1.531 8008

1.503 2595

77

78

1.594 7260

1.563 5846

1.533 6569

1.504 8989

78

79

1.597 0301

1.565 6252

1.535 4600

1.506 4888

79

80

1.599 2771

1.567 6118

1.537 2121

1.508 0303

80

81

1.601 4689

1.569 5459

1.538 9146

1.509 5255-

i

81

82

1.603 6071

1.571 4291

1.540 5692

1.510 9757

82

83

1.605 6931

1.573 2630

1.542 1774

1.512 3824

83

84

1.607 7285

1.575 0492

1.543 7405

1.513 7471

84

85

1.609 7148

1.576 7890

1.545 2602

1.515 0712

85

86

1.611 6534

1.578 4837

1.546 7377

1.516 3560

86

87

1.613 5456

1.580 1347

1.548 1744

1.517 6027

87

88

1.615 3928

1.581 7434

1.549 5715

1.518 8128

88

89

1.617 1961

1.583 3110

1.550 9301

1.519 9871

89

90

1.618 9568

1.584 8386

1.552 2515

1.521 1269

90

91

1.620 6761

1.586 3275

1.553 5369

1.522 2335

91

92

1.622 3551

1.387 7785

1.554 7873

1.523 3077

92

93

1.623 9950

1.589 1931

1.556 0037

1.524 3507

93

94

1.625 5965

1.590 5720

1.557 1871

1.525 3632

94

95

1 627 1612

1.591 9164

1.558 3385

1.526 3465

95

96

1.628 6895

1.593 2272

1.559 4590

- 1.527 3012

96

97

1.630 1828

1.594 5053

1.560 5493

1.528 2284

97

98

1.631 6419

1.595 7517

1.561 6104

1.529 1290

98

99

1.633 0675

1.596 9672

1.562 6433

1.530 0036

99

100

1.634 4606

1.598 1527

1.563 6484

1.530 8531

100

Logarithm of Present Value of 1 per Anniiin at Compound Interest
TABLE XIV. if^g «7ri

n

3%

sh7o

4%

4^%

n

1

9.987 1628

9.985 0596

9.982 9667

9.980 8837

1

2

0.281 8216

0.278 6837

0.275 5635

0.272 4607

2

3

0.451 5733

0.447 4118

0.443 2772

0.439 1691

3

4

0.570 2040

0.565 0303

0.559 8941

0.554 7950

4

5

0.660 8377

0.654 6628

0.648 5378

0.642 4622

5

6

0.733 7742

0.726 6093

0.719 5084

0.712 4706

6

7

0.794 5078

0.786 3640

0.778 2999

0.770 3144

7

8

0.846 3181

0.837 2067

0.828 1922

0.819 2732

8

9

0.891 3205

0.881 2526

0.871 3003

0.861 4621

9

10

0.930 9593

0.919 9461

0.909 0688

0.898 3257

10

11

0.966 2649

0.954 3173

0.942 5277

0.930 8939

11

12

0.997 9978

1.985 1270

0.972 4377

0.959 9273

12

13

1.026 7357

1.012 9527

0.999 3763

0.986 0033

13

14

1.052 9275

1.308 2433

1.023 7924

1.009 5710

14

15

1.076 9292

1.061 3549

1.046 0418

1.030 9859

15

16

1.099 0277

1.082 5742

1.066 4115

1.050 5350

16

17

1.119 4578

1.102 1359

1.085 1360

1.068 4527

17

18

1.138 4136

1.120 2343

1.102 4096

1.084 9332

18

19

1.156 0582

1.137 0323

1.118 3950

1.100 1393

19

20

1.172 5293

1.152 6675

1.133 2299

1.114 2084

20

21

1.187 9442

1.167 2574

1.147 0317

1.127 2579

21

22

1.202 4043

1.180 9033

1.159 9014

1.139 3887

22

23

1.215 9972

1.193 6924

1.171 9265

1.150 6882

23

24

1.228 7991

1.205 7014

1.183 1833

1.161 2325

24

25

1.240 8773

1.216 9971

1.193 7388

1.171 0887

25

26

1.252 2908

1.227 6387

1.203 6520

1.180 3155

26

27

1.263 0921

1.237 6786

1.212 9752

1.188 9651

27

28

1.273 3279

1.247 1633

1.221 7548

1.197 0840

28

29

1.283 0400

1.256 1346

1.230 0327

1.204 7137

29

30

1.292 2658

1.264 6301

1.237 8460

1.211 8914

30

31

1.301 0393

1.272 6833

1.245 2287

1.218 6508

31

32

1.309 3909

1.280 3248

1.252 2109

1.225 0220

32

33

1.317 3485

1.287 5825

1.258 8203

1.231 0326

33

34

1.324 9373

1.294 4813

1.265 0821

1.236 7075

34

35

1.332 1802

1.301 0443

1.271 0190

1.242 0694

35

36

1.339 0985

1.307 2926

1.276 6521

1.247 1392

36

37

1.345 7115

1.313 2454

1.282 0004

1.251 9359

37

38

1.352 0370

1.318 9204

1.287 0818

1.256 4770

38

39

1.358 0913

1.324 3339

1.291 9122

1.260 7785

39

40

1.363 8896

1.329 5011

1.296 5067

1.264 8552

40

41

1.369 4459

1.334 4357

1.300 8791

1.268 7209

41

42

1.374 7733

1.339 1509

1.305 0423

1.272 3882

42

43

1.379 8836

1.343 6585

1.309 0079

1.275 8688

43

44

1.384 7883

1.347 9696

1.312 7873

1.279 1736

44

45

1.389 4977

1.352 0947

1.316 3906

1.282 3127

45

46

1.394 0216

1.356 0434

1.319 8273

1.285 2955

46

47

1.398 3690

1.359 8248

1.323 1064

1.288 1309

47

48

1.402 5487

1.363 4473

1.326 2361

1.290 8269

48

49

1.406 5684

1.366 9190

1.329 2244

1.293 3913

49

50

1.410 4358

1.370 2469

1.332 0784

1.295 8311

50

71

Logarithm of Present Value of 1 per Anniini at Compound Interest
TABLE XIV.

log a—

n

3%

1 V f '

4^r,

4J^Sc

n

51

1.414 1579

1.373 4383

1.334 8052

1.298 1531

51

52

1.417 7413

1.376 4996

1.337 4109

1.300 3634

52

53

1.421 1923

1.379 4371

1.339 9018

1.302 4681

53

54

1.424 5167

1.382 2566

1.342 2837

1.304 4728

54

55

1.427 7202

1.384 9634

1.344 5614

1.306 3825

55

56

1.430 8078

1.387 5626

1.346 7405

1.308 2021

56

57

1.433 7848

1.390 0594

1.348 8255

1.309 9363

57

58

1.436 6556

1.392 4580

1.350 8209

1.31 1 5893

58

59

1.439 4247

1.394 7633

1.352 7309

1.313 1652

59

60

1.442 0963

1.396 9788

1.354 5596

1.314 6681

60

61

1.444 6746

1.399 1089

1.356 3107

1.316 1012

61

62

1.447 1633

1.401 1569

1.357 9877

1.317 4682

62

63

1.449 5658

1.403 1266

1.359 5943

1.318 7724

63

64

1.451 8858

1.405 0212

1.361 1335

1.320 0168

64

65

1.454 1264

1.406 8440

1.362 6083

1.321 2043

65

66

1.456 2907

1.408 5979

1.364 0218

1.322 3376

66

67

1.458 3817

1.410 2858

1.365 3766

1.323 4193

67

68

1.460 4023

1.411 9103

1.366 6752

1.324 4520

68

69

1.462 3549

1.413 4742

1.367 9203

1.325 4379

69

70

1.464 2424

1.414 9800

1.369 1139

1.326 3791

70

71

1.466 0670

1.416 4297

1.370 2588

1.327 2780

71

72

1.467 8313

1.417 8259

1.371 3568

1.328 1365

72

73

1.469 5373

1.419 1708

1.372 4099

1.328 9562

73

74

1.471 1873

1.420 4660

1.373 4200

1.329 7395

74

75

1.472 7832

1.421 7139

1.374 3892

1.330 4874

75

76

1.474 3270

1.422 9161

1.375 3189

1.331 2020

76

77

1.475 8206

1.424 0746

1.376 2111

1.331 8850

77

78

1.477 2658

1.425 1910

1.377 0673

1.332 5373

78

79

1.478 6644

1.426 2668

1.377 8889

1.333 1607

79

80

1.480 0178

1.427 3040

1.378 6774

1.333 7563

80

81

1.481 3279

1.428 3034

1.379 4344

1.334 3256

81

82

1.482 5962

1.429 2670

1.380 1609

1.334 8697

82

83

1.483 8238

1.430 1960

1.380 8583

1.335 3897

83

84

1.485 0124

1.431 0916

1.381 5278

1.335 8868

84

85

1.486 1633

1.431 9552

1.382 1707

1.336 3619

85

86

1.487 2778

1.432 7881

1.382 7879

1.336 8160

86

87

1.488. 3571

1.433 5912

1.383 3806

1.337 2501

87

88

1.489 4022

1.434 3657

1.383 9497

1.337 6652

88

89

1.490 4147

1.435 1128

1.384 4962

1.338 0620

89

90

1.491 3954

1.435 8335

1.385 0211

1.338 4413

90

91

1.492 3454

1.436 5285

1.385 5251

1.338 8041

91

92

1.493 2657

1.437 1991

1.386 0092

1.339 1510

92

93

1.494 1575

1.437 8460

1.386 4741

1.339 4824

93

94

1.495 0215

1.438 4700

1.386 9209

1.339 7997

94

95

1.495 8586

1.439 0720

1.387 3499

1.340 1029

95

96

1.496 6698

1.439 6529

1.387 7619

1.340 3929

96

97

1.497 4560

1.440 2136

1.388 1578

1.340 6702

97

98

1.498 2178

1.440 7545

1.388 5382

1.340 9354

98

99

1.498 9563

1.441 2766

1.388 9036

1.341 1890

99

100

1.499 6720

1.441 7804

1.389 2547

1.341 4316

100

o

I>f>earifhm of Prr-rnt ^ aliif of I pr-r Annum at (impound Inlerei^t
TABI.f \IV. '''-"tt

n

O'r

oh' f

6 f

^"<

n

1

9.978 8108

9 976 7476

9.974 6942

9.970 6162

1

2

0-269 3752

0.266 3070

0.263 2555

0.257 2028

2

3

0 435 0872

0.431 0312

0.427 0009

0.419 0161

3

4

0 549 7327

0.544 7066

0.539 7165

0.529 8423

4

5

0 636 4354

0.630 4568

0.624 5259

0.612 3047

5

6

0.705 4952

0.693 5816

0.691 7238

0.673 2032

6

7

0.762 4065

0.754 5752

0.746 8195

0.731 5315

7

8

0.B10 4485

O.B01 7169

0.793 0772

0.776 0688

8

»

0-S51 7365

0.842 1220

0.332 6170

0.313 9299

9

10

0.887 7149

0.877 2346

0.866 8829

0.845 5587

10

11

0.919 4136

0.908 0847

0.896 9049

0.374 9845

11

12

0.947 5930

0 935 4326

0.923 4432

0.399 9674

12

13

0.972 8308

0.959 8557

0.947 0749

0.922 0342

13

14

0 995 5756

0.981 8027

0.968 2486

0.941 7830

14

15

1.016 1831

1.001 6291

0.987 3198

0.959 4190

15

16

1.034 9399

1.019 6214

1.004 5748

0.975 2777

16

17

1.052 0806

1.036 0142

1.020 2477

0.989 5932

17

18

1.067 7992

1.051 0010

1.034 5323

1.002 5586

18

19

1.082 2582

1.064 7445

1.047 5910

1.014 3355

19

20

1.095 5950

1.077 3818

1.059 5604

1.025 0606

20

21

1.107 9271

1.089 0301

1.070 5578

1.034 8500

21

22

1.119 3550

1.099 7901

1.080 6836

1.043 8039

22

23

1.129 9561

1.109 7436

1.090 0244

1.052 0032

23

24

1.139 8363

1.118 9819

1.093 6561

1.059 5382

24

25

1.149 0326

1.127 5561

1.106 6449

1.066 4594

25

26

1.157 6135

1.135 5300

1.114 0492

1.072 8298

26

27

1.165 6311

1.142 9554

1.120 9203

1.073 7000

27

2B

1.173 1317

1.149 3735

1.127 3045

1.084 1154

23

29

1.180 1567

1.156 3402

1.133 2425

1.089 1161

29

30

1.186 7431

1.162 3776

1.138 7709

1.093 7382

30

31

1.192 9244

1.168 0237

1.143 9226

1.098 0140

31

32

1.198 7306

1.173 3086

1.148 7273

1.101 9722

32

33

1 204 1892

1.178 2593

1.153 2119

1.105 6393

33

34

1.209 3247

1.132 9005

1.157 4007

1.109 0386

34

35

1.214 1599

1.187 2542

1.161 3155

1.112 1917

35

36

1.218 7154

1.191 3411

1.164 9767

1.115 1179

36

37

1.223 0099

1.195 1798

1.163 4026

1.117 8350

37

38

1.227 0609

1.198 7873

1.171 6101

1.120 3592

38

39

1.230 8840

1.202 1793

1.174 6143

1.122 7049

39

40

1.234 4942

1.205 3702

1.177 4297

1.124 8858

40

41

1.237 9047

1.208 3732

1.180 0090

1.126 9142

41

42

1.241 1281

1.211 2007

1.182 5443

1.128 8014

42

43

1.244 1759

1.213 8638

1.184 8666

1.130 5577

43

44

1.247 0589

1.216 3732

1.187 0462

1.132 1927

44

45

1.249 7869

1.218 7383

1.189 0924

1.133 7152

45

46

1.252 3691

1.220 9684

1.191 0140

1.135 1333

46

47

1.254 8142

1.223 0717

1.192 8191

1.136 4545

47

48

1 257 1302

1.225 0560

1.194 5150

1.137 6855

43

49

1.259 3244

1.226 9284

1.196 1090

1.138 8330

49

50

1.261 4037

1.228 6959

1.197 6075

1.139 9026

50

Ix)garithni of Present \ alue of 1 per Annum at Compound Interest

TABLE XIV.

log a-

n

5'-c

- 1^ c -
0^2 C

6^c

' ': c

fl

51

1.263 3751

1.230 3646

1.199 0164

1.140 8997

51

52

1.265 2441

1.231 9403

1.200 3412

1.141 8298

52

53

1.267 0168

1.233 4289

1.201 5874

1.142 6972

53

54

1.268 6984

1.234 8348

1.202 7601

1.143 5059

54

55

1.270 2937

1.236 1634

1.203 8631

1.144 2609

55

56

1.271 8077

1.237 4191

1.204 9012

1.144 9650

56

57

1.273 2448

1.238 6060

1.205 8785

1.145 6221

57

58

1 .274 6089

1.239 7278

1.206 7983

1.146 2353

58

59

1 .275 9042

1.240 7888

1.207 6642

1.146 8076

59

60

1.277 1343

1.241 7918

1.208 4797

1.147 3417

60

61

1.278 3026

1.242 7404

1 .209 2476

1.147 8403

61

62

1.279 4121

1.243 6376

1.209 9707

1.148 3058

62

63

1 .280 4663

1 .244 4866

1.210 6517

1.148 7405

63

64

1 .281 4679

1 .245 2896

1.211 2933

1.149 1464

64

65

1 .282 4197

1.246 0495

1.211 8976

1.149 5251

65

66

1.283 3242

1.246 7683

1.212 4670

1.149 8790

66

67

1.284 1840

1 .247 4488

1.213 0036

1.150 2094

67

68

1.285 0011

1 .248 0927

1.213 5090

1.150 5178

68

69

1.285 7780

1.248 7023

1.213 9855

1.150 8060

69

70

1.286 5166

1.249 2791

1.214 4342

1.151 0752

70

71

1.287 2188

1.249 8252

1.214 8573

1.151 3266

71

72

1.287 8865

1.250 3424

1.215 2562

1.151 5613

72

73

1.288 5215

1.250 8319

1.215 6320

1.151 7806

73

74

1 .289 1254

1.251 2953

1.215 9863

1.151 9856

74

75

1.289 6997

1.251 7342

1.216 3203

1 .152 1770

75

76

1.290 2461

1.252 1498

1.216 6350

1.152 3558

76

77

1.290 7656

1.252 5433

1.216 9319

1.152 5228

77

78

1.291 2600

1.252 9161

1.217 21 17

1.152 6787

78

79

1.291 7301

1.253 2691

1.217 4754

1.152 8247

79

80

1.292 1776

1.253 6032

1.217 7242

1.152 9609

80

81

1.292 6033

1.253 9200

1.217 9588

1.153 0881

81

82

1 .293 0083

1.254 2200

1.218 1797

1.153 2070

82

83

1 .293 3937

1.254 5040

1.218 3«84

1.153 3181

83

84

1.293 7604

1.254 7732

1.218 5848

1.153 4218

84

85

1.294 1094

1.255 0280

1.218 7704

1.153 5188

85

86

1.294 4413

1.255 2696

1.218 9451

1.153 6094

86

87

1.294 7573

1.255 4984

1.219 1101

1.153 6941

87

88

1 .295 0581

1.255 7152

1.219 2656

1.153 7734

88

89

1.295 3444

1.255 9206

1.219 4121

1.153 8471

89

90

1.295 6168

1.256 1 149

1.219 5504

1.153 9163

90

91

1.295 8761

1.256 2993

1.219 6809

1.153 9809

91

92

1.296 1228

1.256 4740

1.219 8039

1.154 0412

92

93

1.296 3579

1.256 6395

1.219 9199

1.154 0976

93

94

1.296 5815

1 .256 7963

1.220 0293

1.154 1503

94

95

1.296 7943

1.256 9449

1.220 1323

1.154 1993

95

96

1.296 9969

1.257 0857

1.220 2297

1 .154 2454

96

97

1.297 1899

1.257 2190

1.220 3216

1.154 2885

97

98

1.297 3735

1.257 3454

1.220 4082

1.154 3287

98

99

1.297 5484

1.257 4652

1.220 4898

1.154 3661

99

100

1.297 7148

1.257 5787

1.220 5670

1.154 4011

100

i i

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